Zhijun Qiao's Publications

(2 monographs and 234 research articles)

 

Book Publications (2 monographs)

1.      Zhijun Qiao (2002): Finite-dimensional Integrable System and Nonlinear Evolution Equations (English Version), 230 pages, ISBN 7-04-010516-0, Chinese National Higher Education Press, Beijing, PR China.

2.      Zhijun Qiao with Fengshan Liu, Zuhair Nashed, Gaston Nguerekata, Dragoljub Pokrajac, Xiquan Shi, and Xianggen Xia, (2006): Advances in Applied and Computational Mathematics, Nova Science Publication, Inc., USA.

 

List of significant articles published in refereed journals at international levels

 

ˇ¤        Zhijun Qiao with Engui Fan (2012): Negative-order Korteweg¨Cde Vries equations, Physical Review E 86, 016601 (PDF file).

ˇ¤        Zhijun Qiao with Lei Zhang et al (2012): High Resolution ISAR Imaging by Exploiting Sparse Apertures, IEEE Transactions on Antennas and Propagation, Vol. 60, 997 (PDF file).

ˇ¤        Zhijun Qiao with Ming Chen (2011) and Yue Liu: Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system, Communications in Partial Differential Equations, 36, 2162 (PDF file).

ˇ¤        Zhijun Qiao with Zhang G. (2006): On peaked and smooth solitons for the Camassa-Holm equation, Europhys. Lett., 73, 657-663. (PDF file).

ˇ¤        Zhijun Qiao with Li S. (2004): A new integrable hierarchy (short wave model for the DP), parametric solution, and traveling wave solution, Mathematical Physics, Analysis and Geometry 7(4), 289-308. (PDF file).

ˇ¤        Zhijun Qiao (2004): Integrable hierarchy (the DP hierarchy), 3 by 3 constrained systems, and parametric and stationary solutions, Acta Applicandae Mathematicae 83, 199-220. (PDF file).

ˇ¤        Zhijun Qiao (2003): The Camassa-Holm hierarchy, N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold, Communications in Mathematical Physics 239, 309-341. (PDF file).

ˇ¤        Zhijun Qiao, Cao C., Strampp W. (2003): Category of nonlinear evolution equations, algebraic structure, and r-matrix, Journal of Mathematical Physics 44, 701-722 (PDF file).

ˇ¤        Zhijun Qiao and Strampp W. (2002): Negative order MKdV hierarchy and a new integrable Neumann-like system, Physica A 313, 365-380. (PDF file).

ˇ¤        Zhijun Qiao (2001): Generalized r-matrix structure and algebro-geometric solution for integrable system, Reviews in Mathematical Physics 13, 545-586. (PDF file).

ˇ¤        Zhijun Qiao (2001): r-matrix and algebro-geometric solution for the AKNS system, Theoretical and Mathematical Physics 127,  827-834 (PDF file).

ˇ¤        Zhijun Qiao (1999): r-matrix and algebraic-geometric solution for the integrable symplectic map, Chinese Science Bulletin 44, 114-119. (PDF file).

ˇ¤        Zhijun Qiao and Zhou R. (1997): Discrete and continuous integrable systems possessing the same non-dynamical r-matrix,  Physics Letters A 235, 35-40 (PDF file).

ˇ¤        Zhijun Qiao (1997): Modified r-matrix and separation of variables for the MKdV hierarchy, Physica A 243, 129-140 (PDF file).

ˇ¤        Zhijun Qiao (1997): Generalized Structure of Lax Representations for Nonlinear Evolution Equation, Applied Mathematics and Mechanics 18, 671-677 (PDF file).

ˇ¤        Zhijun Qiao (1993): A new completely integrable Liouville's system produced by the Kaup-Newell eigenvalue problem, Journal of Mathematical Physics 34, 3110-3120. (PDF file).

ˇ¤        Zhijun Qiao (1993): Bargmann system and the involutive solutions of the Levi hierarchy, Journal of Physics A 26, 4407-4417. (PDF file).

ˇ¤        Zhijun Qiao (1993): Two new integrable systems in Liouville's sense, Physics Letters A 172, 224-228 (PDF file).

 

Journal Publications (234 refereed journal articles)

List of articles published in Refereed Journals at National and International Levels (MR-Mathematical Reviews, USA; Zentralblatt MATH, Germany)

 

1.     Zhijun Qiao with W Hu, Z Han, TJ Bridges (2023). Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation, Applied Mathematics Letters 145, 108772

2.     Zhijun Qiao with N Cai, Y Zhou (2023). Wave solutions to an integrable negative order KdV equation, Wave Motion 116, 103072

3.     Zhijun Qiao with J Guo, H Shi, T Yang, D Liu (2023). Deep Unfolding Network for ISAR Imaging Based on Hypernetwork, IEEE Transactions on Aerospace and Electronic Systems, https://doi.org/10.1109/TAES.2023.3300260. 

4.     Zhijun Qiao with EG Reyes (2023). Fifth-order equations of Camassa-Holm type and pseudo-peakons, Applied Numerical Mathematics, https://doi.org/10.1016/j.apnum.2022.12.015 

5.     Zhijun Qiao with W Weng, Z Yan (2023). Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic¨Cquintic Camassa¨CHolm type equation, Monatshefte f¨ąr Mathematik 200, 667-713

6.     Zhijun Qiao with J Guo, H Shi, T Yang (2023). Turbulence compensation for radar imaging carrying orbital angular momentum based on convolutional neural network, Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2023.2181644

7.     Zhijun Qiao with X Fang, Z Gu (2023). Convergence of the two-point modulus-based matrix splitting iteration method, Journal of Applied Analysis & Computation, https://doi.org/10.11948/20220400

8.     Zhijun Qiao with X Pan, S Zhou (2023). A Generalized Two-Component Camassa-Holm System with Complex Nonlinear Terms and Waltzing Peakons, Journal of Nonlinear Mathematical Physics, 1-37, https://doi.org/10.1007/s44198-023-00121-9

9.     Zhijun Qiao with J Zhu, K Shao (2023). Bi-Dbar-approach for a coupled shifted nonlocal dispersionless system, Journal of Nonlinear Mathematical Physics 30, 578-599

10.  Zhijun Qiao with S Yang (2022). Qualitative analysis for a two-component peakon system with cubic nonlinearity, Journal of Mathematical Physics 63, 121504

11.  Zhijun Qiao with Vatchev, V. (2022). On dynamics of multi-solitons for the good Boussinesq (gB) equation. Wave Motion 112, 102929.

12.  Zhijun Qiao with Li, L., Long, Z., Ying, H. (2022). An online gradient-based parameter identification algorithm for the neuro-fuzzy systems, Fuzzy Sets and Systems 426, 27-45.

13.  Zhijun Qiao with Yang, T., Shi, H. (2022). Enhanced SAR Imaging Using Multiple Plane Spiral Orbital Angular Momentum Beams, Measurement 202, 111784.

14.  Zhijun Qiao with Z Luo, Z Yin (2022). Global existence and blow-up phenomena for a periodic modified Camassa¨CHolm equation (MOCH), Applicable Analysis 101(9), 3432-3444.

15.  Zhijun Qiao with Zhu, M., Jiang, Z. (2022). Persistence property and infinite propagation speed for the b-family of Fokas¨COlver¨CRosenau¨CQiao (bFORQ) model, Applied Mathematics Letters 124, 107652.

16.  Zhijun Qiao with Zhu, M., Jiang, Z. (2022). Analytical properties for the fifth-order b-family Novikov model, Journal of Evolution Equations 22(1), 1-22.

17.  Zhijun Qiao with Chen, A., Deng, T. (2022). Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation. Monatshefte f\"ur Mathematik, 198(2), 251-288.

18.  Zhijun Qiao with Guo, J., Yang, T., Lv, C., Shi, H. (2022). Atmospheric turbulence compensation for OAM-carrying vortex waves based on convolutional neural network, Advances in Space Research 69(5), 1949-1959.

19.  Zhijun Qiao with S Zhu, J Li, J Zhou (2022). Multiple Periodic Vibrations of Auxetic Honeycomb Sandwich Plate with 1: 2 Internal Resonance, Journal of Nonlinear Mathematical Physics, 1-22.

20.  Zhijun Qiao with XM Fang, HJ Zhao, J Li (2022). The Reduced Order Method for Solving the Linear Complementarity Problem with an M-Matrix, Journal of Nonlinear Mathematical Physics, 1-14.

21.  Zhijun Qiao with E Fan, M Yuen (2022). The Cartesian analytical solutions for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity, Communications in Theoretical Physics, 74 105005, DOI 10.1088/1572-9494/ac82ac

22.  Zhijun Qiao with M Rodriguez, J Li (2021). Negative Order KdV Equation with No Solitary Traveling Waves, Mathematics 10(1), 48.

23.  Zhijun Qiao with H Shi, L Zhang, D Liu, T Yang (2021). ISAR Imaging Algorithm for Maneuvering Targets Based on Fourier Ptychographic Microscopy, IEEE Transactions on Geoscience and Remote Sensing 60, 1-11.

24.  Zhijun Qiao with T Yang, H Shi, J Guo, D Liu (2021). Super-resolution performance studies for orbital-angular-momentum-based imaging radar, International Journal of Remote Sensing 42(21), 8185-8206.

25.  Zhijun Qiao with Yang, T., Shi, H., Guo, J. (2021). Orbital-angular-momentum-based super-resolution ISAR imaging for maneuvering targets: Modeling and performance analysis, Digital Signal Processing, 103197.

26.  Zhijun Qiao with Z Luo, Z Yin (2021). Globally conservative solutions for the modified Camassa¨CHolm (MOCH) equation, Journal of Mathematical Physics 62(9), 091506.

27.  Zhijun Qiao with Zhu, M., Cao, L., Jiang, Z. (2021). Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model, Journal of Nonlinear Mathematical Physics 28, 321-336.

28.  Zhijun Qiao with Fu, S., Wang, Z. (2021). Eigenvalues and Eigenfunctions of a Schr\"odinger Operator Associated with a Finite Combination of Dirac-Delta Functions and CH Peakons. Journal of Nonlinear Modeling and Analysis. 3, 131-144.

29.  Zhijun Qiao with Zhang, L. (2021). Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space. Journal of Differential Equations. 274, 414--460.

30.  Zhijun Qiao with Anco, S., He, H. (2021). Local well-posedness and blow-up for a family of U (1)-invariant peakon equations. Journal of Differential Equations, 275, 757--789.

31.  Zhijun Qiao with Wang, X., Zhu, J. (2021). New solutions to the differential-difference KP equation. Applied Mathematics Letters, 113, 106836.

32.  Zhijun Qiao with Zou, B., Jia, Y. (2021). A high-precision SAR echo simulation method based on FDTD. Radar Sensor Technology XXV (vol. 11742, pp. 1174212).

33.  Zhijun Qiao with Zhang, L., Jiang, C., Zou, B. (2021). Road network detection based on improved FLICM-MRF method using high resolution SAR images, Big Data III: Learning, Analytics, and Applications (vol. 11730, pp. 117300H).

34.  Zhijun Qiao with Li, L., Long, Z. (2020). A Smoothing Algorithm with Constant Learning Rate for Training Two Kinds of Fuzzy Neural Networks and Its Convergence. Neural Processing Letters, 51(2), 1093--1109.

35.  Zhijun Qiao with Z Luo, Z Yin (2020). On the Cauchy problem for a modified Camassa¨CHolm equationMonatshefte f¨ąr Mathematik 193, 857-877.

36.  Zhijun Qiao with Fan, X., Chen, Q., Wang, C., Ten, M. (2020). Attribute reduction for multi-label classification based on labels of positive region. Soft Computing, 14039-14049.

37.  Zhijun Qiao with Zhou, S., Mu, C. (2020). Continuity for a generalized cross-coupled Camassa--Holm system with waltzing peakons and higher-order nonlinearities. Nonlinear Analysis: Real World Applications, 51, 102970.

38.  Zhijun Qiao with Zhu, J., Zhou, S. (2020). Forced (2+ 1)-dimensional discrete three-wave equationCommunications in Theoretical Physics, 72(1), 015004.

39.  Zhijun Qiao with Hu, Q. (2020). Global existence and propagation speed for a generalized Camassa--Holm model with both dissipation and dispersionJournal of Evolution Equations, 20(2), 403--419.

40.  Zhijun Qiao with Fang, X. (2020). Improved error bounds based on $\alpha$ (M) for the linear complementarity problem. Linear Algebra and its Applications, 589, 186--200.

41.  Zhijun Qiao with Guo, J., Shi, H., Yang, T., Zhang, J. (2020). Ionospheric correction in P-band ISAR imaging based on polar formatting algorithm and convolutional neural networkIET Radar, Sonar & Navigation. 14(7), 1098ˇŞ1104.

42.  Zhijun Qiao with Yang, M., Li, Y. (2020). Persistence properties and wave-breaking criteria for a generalized two-component rotational b-family systemDiscrete & Continuous Dynamical Systems-A, 40(4), 2475--2493.

43.  Zhijun Qiao with Zhang, L. (2020). The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm systemJournal of Differential Equations, 268 (3), 1270--1305.

44.  Zhijun Qiao with Wu, X. (2020). An effective method to obtain contour of fisheye images based on improved level set. Big Data II: Learning, Analytics, and Applications 11395, 46-52.

45.  Zhijun Qiao with Yang, S., Xu, T. (2019). Blow-up phenomena and peakons for the b-family of FORQ/MCH equations. Journal of Differential Equations, 266(10), 6771--6787.

46.  Zhijun Qiao with Chen, R., Zhou, S. (2019). Persistence properties and wave-breaking criteria for the Geng-Xue system. Mathematical Methods in the Applied Sciences. 42(18), 6999-7010.

47.  Zhijun Qiao with Zhang, Y., Liu, Q. (2019). Fifth-order b-family Novikov (FObFN) model with pseudo-peakons and multi-peakons. Modern Physics Letters B 33, 1950205.

48.  Zhijun Qiao with Zhu, J., Wang, L. (2019). Inverse spectral transform for the Ragnisco--Tu equation with Heaviside initial condition. Journal of Mathematical Analysis and Applications, 474(1), 452--466.

49.  Zhijun Qiao with Zhang, Y.-F., Liu, Q. (2019). Weak kink wave and peakon solutions with an arbitrary parameter. Physica Scripta, 94(10), 105209.

50.  Zhijun Qiao with Xu, T., Chen, Y. (2019). Multi-dark soliton solutions for the (2+ 1)-dimensional multi-component Maccari system. Modern Physics Letters B, 33(31), 1950390.

51.  Zhijun Qiao with Zhao, H., Wang, Y., Zheng, J., Zhang, Y. (2019). Solder joint image adaptive block compressive sensing with convex optimisation and Gini index. The Journal of Engineering, 23, 8923--8926.

52.  Zhijun Qiao with Zhu, J., Ma, X. (2019). Spectral analysis of generalized Volterra equation. Frontiers of Mathematics in China, 14(5), 1063--1075.

53.  Zhijun Qiao with Fang, X.-M., Zhao, H.-J. (2019). The Block Principal Pivoting Algorithm for the Linear Complementarity Problem with an-Matrix. Advances in Mathematical Physics, Article ID 2976768, https://doi.org/10.1155/2019/2976768.

54.  Zhijun Qiao with Shi, H., Yang, T.** (2018), ISAR Autofocus Imaging Algorithm for Maneuvering Targets Based on Phase Retrieval and Gabor Wavelet Transform. Remote Sensing, 10(11), 1810; https://doi.org/10.3390/rs10111810.

55.  Zhijun Qiao with Liu, Q. (2018), Fifth order Camassa--Holm model with pseudo-peakons and multi-peakons. International Journal of Non-Linear Mechanics 105, 179-185. https://doi.org/10.1016/j.ijnonlinmec.2018.05.024.   

56.  Zhijun Qiao with Wang, F., Li, F. (2018), Well-posedness and peakons for a higher-order $\mu$-Camassa--Holm equation. Nonlinear Analysis, 175, 210--236.

57.  Zhijun Qiao with Shi, H., Xia, S., Qin, Q., Yang, T.** (2018), Non-Stationary Platform Inverse Synthetic Aperture Radar Maneuvering Target Imaging Based on Phase Retrieval. Sensors, 18(10), 3333.

58.  Zhijun Qiao with Yan, K., Zhang, Y. (2018), On a new two-component $ b $-family peakon system with cubic nonlinearity. Discrete & Continuous Dynamical Systems-A, 38, 5415--5442.

59.  Zhijun Qiao with Xia, B*. and Li, J. (2018), An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions. Communications in Nonlinear Science and Numerical Simulation, 63, 292 - 306.

60.  Zhijun Qiao with Wang, F. and Li, F. (2018). On the Cauchy problem for a higher-order $$\backslash$mu $-Camassa-Holm equation. Discrete & Continuous Dynamical Systems - A, 38(8), 4163-4187.

61.  Zhijun Qiao with Huang, L.-L**. and Chen, Y. (2018). Soliton--cnoidal interactional wave solutions for the reduced Maxwell--Bloch equations. Chinese Physics B, 27(2), 020201.

62.  Zhijun Qiao with Shi, H. and Xia, S. (2018). Aerostat borne ISAR autofocus imaging based on phase retrieval. Radar Sensor Technology XXII (vol. 10633, pp. 1063307).

63.  Zhijun Qiao with Wang, X., Zhang, L., and Zou, L**. (2018). Polarimetric SAR image classification based on kernel sparse representation. Compressive Sensing VII: From Diverse Modalities to Big Data Analytics (vol. 10658, pp. 106580L).

64.  Zhijun Qiao with Yu Hou**, and Engui Fan (2017), The algebro-geometric solutions for the Fokas¨COlver¨CRosenau¨CQiao (FORQ) hierarchy, Journal of Geometry and Physics 117, 105-133.

65.  Zhijun Qiao with Zhaqilao, Z. and Hu, Q. (2017). Multi-soliton solutions and the Cauchy problem for a two-component short pulse system. Nonlinearity, 30(10), 3773.

66.  Zhijun Qiao with Shouming Zhou, Chunlai Mu, and Long Wei (2017), Continuity and asymptotic behaviors for a shallow water wave model with moderate amplitude, Journal of Differential Equations 263, 910-933.

67.  Zhijun Qiao with Lou, S.-Y. (2017). Alice--Bob Peakon Systems. Chinese Physics Letters, 34(10), 100201.

68.  Zhijun Qiao with Long Wei, Yang Wang, and Shouming Zhou (2017), Conserved quantities, global existence and blow-up for a generalized CH equation, Discrete and Continuous Dynamical Systems 37, 1733-1748.                  

69.  Zhijun Qiao with Eric Tovar**, and Haicheng Gu** (2017), On Peakon and Kink-peakon Solutions to a (2+ 1) Dimensional Generalized Camassa-Holm Equation, Journal of Nonlinear Mathematical Physics 24, 29-40.

70.  Zhijun Qiao with Long Li, Yan Liu and Yuan Chen (2017), A convergent smoothing algorithm for training max¨Cmin fuzzy neural networks, Neurocomputing, 260, 404-410.

71.  Zhijun Qiao with Lei Zhang, Guanyong Wang, Hongxian Wan and Ligang Sun** (2017), Two-Stage Focusing Algorithm for Highly Squinted Synthetic Aperture Radar Imaging, IEEE Transactions on Geoscience and Remote Sensing, vol. PP, no. 99, pp. 1-16. doi: 10.1109/TGRS.2017.2709907.

72.  Zhijun Qiao with Lei Zhang, Guanyong Wang, and Hongxian Wang** (2017), Azimuth motion compensation with improved subaperture algorithm for airborne SAR imaging, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 10, 184-193.

73.  Zhijun Qiao with Zhou, Y., Zhang, L., Wang, H**. and Hu, M**. (2017). Attitude estimation of space targets by extracting line features from ISAR image sequences. Signal Processing, Communications and Computing (ICSPCC), 2017 IEEE International Conference on (pp. 1--4).

74.     Zhijun Qiao with Hu, Q. (2016). Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function. Discrete and Continuous Dynamical Systems, 36(12), 6975-7000. http://dx.doi.org/10.3934/dcds.2016103 10.3934/dcds.2016103

75.     Zhijun Qiao with Xia, B., Zhou, R. (2016). Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation. Journal of Mathematical Physics, 57(10), 103502. http://dx.doi.org/10.1063/1.4964256 10.1063/1.4964256

76.     Zhijun Qiao with Baoqiang Xia (2016), Multi-component generalization of the Camassa¨CHolm equation, Journal of Geometry and Physics, 107, 35-44 (PDF file).

http://dx.doi.org/10.1016/j.geomphys.2016.04.02010.1016/j.geomphys.2016.04.020

77.     Zhijun Qiao with Zhang, L., Wang, H. (2016). Resolution enhancement for ISAR imaging via improved statistical compressive sensing. EURASIP Journal on Advances in Signal Processing, 2016(1), 80.

78.     Zhijun Qiao with Wang, Z. (2016). Riemann-Hilbert approach for the FQXL model: A generalized Camassa-Holm equation with cubic and quadratic nonlinearity. Journal of Mathematical Physics, 57(7), 073505.

http://dx.doi.org/10.1063/1.4959232 10.1063/1.4959232

79.     Zhijun Qiao with Qiaoyi Hu (2016): Persistence properties and unique continuation for a dispersionless two-component Camassa-Holm system with peakon and weak kink solutions, Discrete and Continuous Dynamical Systems (DCDS ¨C A), 36, 2613 ¨C 2625, doi:10.3934/dcds.2016.36.2613 (PDF file).

http://dx.doi.org/10.3934/dcds.2016.36.2613 10.3934/dcds.2016.36.2613

80.     Zhijun Qiao with Zhao, H., Chen, J., Xu, S. and Wang, Y. (2016). Compressive sensing for noisy solder joint imagery based on convex optimization. Soldering & Surface Mount Technology, 28(2), 114-122. http://dx.doi.org/10.1108/ssmt-09-2014-0017 10.1108/ssmt-09-2014-0017

81.     Zhijun Qiao with Sun, L.**, Zhang, L., Wang, G., Hu, M.** (2016). A new two-step algorithm for spotlight synthetic aperture radar imaging. In Ranney, Kenneth I.; Doerry, Armin (Ed.), Radar Sensor Technology XX. SPIE. http://dx.doi.org/10.1117/12.2228133 10.1117/12.2228133

82.     Zhijun Qiao with Zou, B., Lu, D.**, Wu, Z.** (2016). Urban-area extraction from polarimetric SAR image using combination of target decomposition and orientation angle. In Ranney, Kenneth I.; Doerry, Armin (Ed.), Radar Sensor Technology XX. SPIE. http://dx.doi.org/10.1117/12.2228689 10.1117/12.2228689

83.     Zhijun Qiao with Zhang, L., Wang, X.** and Zou, B. (2016). Ensemble polarimetric SAR image classification based on contextual sparse representation. In Ahmad, Fauzia (Ed.), Compressive Sensing V: From Diverse Modalities to Big Data Analytics. SPIE. http://dx.doi.org/10.1117/12.2229093 10.1117/12.2229093

84.     Zhijun Qiao with Lei Zhang and Hongxian Wang** (2016): Resolution enhancement for ISAR imaging via improved statistical compressive sensing, EURASIP Journal on Advances in Signal Processing, 2016:80 DOI: 10.1186/s13634-016-0379-2.

85.     Zhijun Qiao with Kai Yan, and Zhaoyang Yin (2015): Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions, Communications in Mathematical Physics, 336, 581 ¨C 617 (PDF file).

86.     Zhijun Qiao with Kai Yan, and Yufeng Zhang (2015): Blow-up phenomena for an integrable two-component Camassa¨CHolm system with cubic nonlinearity and peakon solutions, Journal of Differential Equations, 259, 6644 ¨C 6671 (PDF file).

87.     Zhijun Qiao with Yu Hou, Engui Fan, and Zhong Wang (2015): Algebro-geometric solutions for the derivative Burgers hierarchy, Journal of Nonlinear Sciences, 25, 1 ¨C 35 (PDF file).

88.     Zhijun Qiao with Baoqiang Xia (2015): A new two-component integrable system with peakon solutions. Proc. R. Soc. A, 471, 20140750 (PDF file).

89.     Zhijun Qiao with Baoqiang Xia and Ruguang Zhou (2015): A Synthetical Two-Component Model with Peakon Solutions, Studies in Applied Mathematics, 135, 248-276 (PDF file).

90.     Zhijun Qiao with Aiyong Chen, Shuangquan Wen, Shengqiang Tang, and Wentao Huang (2015): Effects of Quadratic Singular Curves in Integrable Equations, Studies in Applied Mathematics, 134, 24-61 (PDF file).

91.     Zhijun Qiao with Baoqiang Xia and Ruguang Zhou (2015): A three-component Camassa-Holm system with cubic nonlinearity and peakons, Journal of Nonlinear Mathematical Physics, 22, 155 ¨C 169 (PDF file).

92.      Zhijun Qiao with Wei Fu, Jingjing Sun and Dajun Zhang (2015): Continuous Correspondence of Conservation Laws of the Semi-discrete AKNS System, Journal of Nonlinear Mathematical Physics, 22, 321 ¨C 341 (PDF file).

93.      Zhijun Qiao with Jibin Li (2015): Bifurcation and Traveling Wave Solutions for the Fokas Equation, Int. J. Bifurcation Chaos, 25, 1550136 [13 pages] DOI: 10.1142/S0218127415501369 (PDF file).

94.      Zhijun Qiao with Huihuang Zhao, Yaonan Wang and Xiaojiang Peng (2015): Gradient-based compressive sensing for noise image and video reconstruction, Communications, IET, 9(7), 940 ¨C 946, DOI: 10.1049/iet-com.2014.0911 (PDF file).

95.      Zhijun Qiao with Bing Sun, Jie Chen, and Eric J. Tovar (2015): Unbiased-average minimum biased diffusion speckle denoising approach for synthetic aperture radar images, J. Appl. Remote Sens. 9, 095081 doi: 10.1117/1.JRS.9.095081 (PDF file).

96.     Zhijun Qiao with Alex Martinez, Mengqi Hu, and Haicheng Gu (2015): Born approximation, scattering, and algorithm, Proc. SPIE 9461, Radar Sensor Technology XIX; and Active and Passive Signatures VI, 94611C (21 May 2015); doi:10.1117/12.2177864 (PDF file).

97.     Zhijun Qiao with Bing Sun, Haicheng Gu, and Mengqi Hu (2015): Compressive sensing for a general SAR imaging model based on MaxwellˇŻs equations, Proc. SPIE 9484, Compressive Sensing IV, 948402 (14 May 2015); doi: 10.1117/12.2177845 (PDF file).

98.     Zhijun Qiao with Huihuang Zhao, John Montalbo, Shuxia Li, and Yaqi Sun (2015): Compressive sensing for noisy video reconstruction, Proc. SPIE 9484, Compressive Sensing IV, 94840C (14 May 2015); doi: 10.1117/12.2180358 (PDF file).

99.     Zhijun Qiao with Aiyong Chen, Wenjing Zhu and Wentao Huang (2014): Algebraic Traveling Wave Solutions of a Non-local Hydrodynamic-type Model, Mathematical Physics, Analysis and Geometry, 17, 465 ¨C 482 (PDF file).

100. Zhijun Qiao with Lei Zhang, Jia Duan, Mengdao Xing and Zhen Bao (2014): Phase adjustment and isar imaging of maneuvering targets with sparse apertures, IEEE Transactions on Aerospace and Electronic Systems, 50(3), 1955 ¨C 1973 (PDF file).

101. Zhijun Qiao with Lei Zhang, Haolin Li, and Zhiwei Xu (2014): A fast BP algorithm with wavenumber spectrum fusion for high-resolution spotlight SAR imaging, IEEE Geoscience and Remote Sensing Letters 11(9), 1460¨C1464 (PDF file).

102. Zhijun Qiao with Xingxing Liu and Zhaoyang Yin (2014): On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity, Communications on Pure and Applied Analysis, 13, 1283-1304; DOI: 10.3934/cpaa.2014.13.1283 (PDF file).

103. Zhijun Qiao with Baoqiang Xia (2014): An integrable (2+1)-dimensional Camassa-Holm hierarchy with peakon solutions, Phys. Scr.  89, 105209. DOI: 10.1088/0031-8949/89/10/105209 (PDF file).

104. Zhijun Qiao with Lin Luo and Juan Lopez (2014): Integrable generalization of the associated Camassa¨CHolm equation, Physics Letters A, 378, 677¨C683; DOI:10.1016/j.physleta.2013.11.029 (PDF file).

105. Zhijun Qiao with Huihuang Zhao, Yaonan Wang and Bin Fu (2014): Solder joint imagery compressing and recovery based on compressive sensing, Soldering & Surface Mount Technology, 26, 129 ¨C 138; http://dx.doi.org/10.1108/SSMT-09-2013-0024 (PDF file).

106. Zhijun Qiao with Bing Sun, Yufeng Cao, Jie Chen, and Chunsheng Li (2014): Compressive sensing imaging for general synthetic aperture radar echo model based on MaxwellˇŻs equations, EURASIP Journal on Advances in Signal Processing.2014, 2014:153; DOI: 10.1186/1687-6180-2014-153 (PDF file).

107. Zhijun Qiao with Bing Sun and Juan Lopez (2014): ˇ°Image reconstruction and compressive sensing in MIMO radarˇ±, Proc. SPIE9077, Radar Sensor Technology XVIII, 90770O ; http://dx.doi.org/10.1117/12.2051275 (PDF file).

108.    Zhijun Qiao with Alex Martinez (2014): "Born approximation, multiple scattering, and butterfly algorithm", Proc. SPIE9093, Algorithms for Synthetic Aperture Radar Imagery XXI, 90930B; http://dx.doi.org/10.1117/12.2050495 (PDF file).

109. Zhijun Qiao with Baoqiang Xia (2013): The N-kink, bell-shape and hat-shape solitary solutions of b-family equation in the case of b=0, Physics Letters A, 377, 2340-2342; DOI: 10.1016/j.physleta.2013.07.017 (PDF file).

110. Zhijun Qiao with Jibin Li (2013), Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations, J. Math. Phys. 54, 123501; DOI: 10.1063/1.4835395 (PDF file)..

111. Zhijun Qiao with Lei Zhang et al (2013): Integrating autofocus techniques with fast factorized back-projection for high-resolution spotlight SAR imaging, IEEE Geoscience and Remote Sensing Letters, 10(6), 1394 ¨C1398 (PDF file).

112. Zhijun Qiao with Yu Hou, Peng Zhao and Engui Fan (2013): Algebro-geometric Solutions for the Degasperis--Procesi Hierarchy, SIAM J. Math. Anal. 45, 1216¨C1266 (PDF file).

113. Zhijun Qiao with Lei Zhang et al (2013): Translational motion compensation for ISAR imaging under low SNR by minimum entropy, EURASIP Journal on Advances in Signal Processing 2013:33, DOI:10.1186/1687-6180-2013-33 (PDF file).

114. Zhijun Qiao with Jibin Li (2013):  Bifurcations and Exact Travelling Wave Solutions for a generalized Camassa-Holm Equation, Int. J. Bifurcation Chaos 23, 1350057, DOI: 10.1142/S021812741350057 (PDF file).

115. Zhijun Qiao with Baoqiang Xia (2013):  On integrable peakon systems with weak kink and kink-peakon interactional solutions, Frontiers of Mathematics in China 8, 1185¨C1196 (PDF file). 

116. Zhijun Qiao with Huihuang Zhao, Juan Lopez, and Alex Martinez (2013): SAR image denoising based on wavelet packet and median filter, Applied Mechanics and Materials, Vol. 333 ¨C 335, 916 ¨C 919 (PDF file).

117. Zhijun Qiao with Alex Martinez (2013): "Iteratively compensating for multiple scattering in SAR imaging", Proc. SPIE 8746, Algorithms for Synthetic Aperture Radar Imagery XX, 874603 (May 23, 2013); (PDF file), http://dx.doi.org/10.1117/12.2016281

118. Zhijun Qiao with Y Cao and A Martinez (2013): "A mathematical observation on synthetic aperture radar", Proc. SPIE 8714, Radar Sensor Technology XVII,87141J(5/31,2013); (PDF file), http://dx.doi.org/10.1117/12.2016228

119. Zhijun Qiao with Yan Shen, Houjin Chen, and Chang Yao (2013): "Super-resolution reconstruction of compressed sensing mammogram based on contourlet transform", Proc. SPIE 8750, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XI, 87500M (May 29, 2013); (PDF file), http://dx.doi.org/10.1117/12.2019037

120. Zhijun Qiao with H Zhao, J Lopez, and Y Cao (2013):"Noise synthetic aperture radar (SAR) imagery compressing and reconstruction based on compressed sensing", Proc. SPIE 8750, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XI, 87500N (May 29, 2013); (PDF file), http://dx.doi.org/10.1117/12.2019120

121. Zhijun Qiao with J Lopez (2013): ˇ°Array geometries, signal type, and sampling conditions for the application of compressed sensing in MIMO radarˇ±, Proc. SPIE 8717, Compressive Sensing II, 871702 (May 31, 2013); (PDF file), http://dx.doi.org/10.1117/12.2016296

122. Zhijun Qiao with Engui Fan (2012): Negative-order Korteweg¨Cde Vries equations, Physical Review E 86, 016601 (PDF file).

123. Zhijun Qiao with Bing Sun and Jie Chen (2012): Outer circular synthetic apeture radar imaging based on Maxwell's equations, Journal of Applied Remote Sensing, 0635471 (PDF file).

124. Zhijun Qiao with Jibin Li (2012): Bifurcations and Exact Travelling Wave Solutions for the Generalized Two-Component Camassa-Holm Equation, accepted for publication in: International Journal of Bifurcation and Chaos.

125. Zhijun Qiao with Lei Zhang et al (2012): A Robust Motion Compensation Approach for UAV SAR Imagery, IEEE Transactions on Geoscience and Remote Sensing, Vol. 50, 3202 (PDF file).

126. Zhijun Qiao with Lei Zhang et al (2012): Wave number-domain Autofocusing for Highly Squinted UAV SAR Imagery. IEEE Sensors Journal, Vol. 12, 1574 (PDF file).

127. Zhijun Qiao with Lei Zhang et al (2012): High Resolution ISAR Imaging by Exploiting Sparse Apertures, IEEE Transactions on Antennas and Propagation, Vol. 60, 997 (PDF file).

128. Zhijun Qiao with Neo Pena, Guillermo Garza, and Yufeng Cao (2012): Edge Detection of Real Synthetic Aperture Radar Images through Filtered Back Projection, IEEE 978-1-4673-0199-2/12, 1915 (PDF file).

129. Zhijun Qiao with Timothy P. Ray and Jaime X. Lopez (2012): Principles of 3D Turntable Radar Imaging, IEEE 978-1-4673-0658-4, 0758 (PDF file).

130. Zhijun Qiao with Alex Martinez, Juan F. Lopez, and Yufeng Cao (2012): A Mathematical Model for MIMO Imaging, Proc. of SPIE Vol. 8393 839308-1 (PDF file).

131. Zhijun Qiao with Neo Pena and Guillermo Garza (2012): Filtered Back Projection Type Direct Edge Detection of Real Synthetic Aperture Radar Images, Proc. of SPIE Vol. 8394 83940N1 (PDF file).

132. Zhijun Qiao with Timothy Ray, Yufeng Cao, and Genshe Chen (2012): 2D and 3D ISAR image reconstruction through filtered back projection, Proc. of SPIE Vol. 8361 836107-1 (PDF file).

133. Zhijun Qiao with Jibin Li (2011): Negative order KdV equation with both solitons and kink wave solutions, Europhys. Lett., 94, 50003 (PDF file).

134. Zhijun Qiao with Ming Chen and Yue Liu (2011): Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system, Communications in Partial Differential Equations, 36, 2162 (PDF file).

135. Zhijun Qiao with Jaime Lopez (2011), Filtered back projection inversion of turntable ISAR data, Proc. of SPIE Vol. 8051, 805109 (PDF file).

136. Zhijun Qiao with Guillermo Garza (2011), Resolution analysis of bistatic SAR, Proceedings of SPIE Vol. 8021, 802169 (PDF file).

137. Zhijun Qiao with Lei Zhang et al (2011): High-Resolution ISAR Imaging With Sparse Stepped-Frequency Waveforms, IEEE Transactions on Geoscience and Remote Sensing 49, 4630 (PDF file).

138. Zhijun Qiao with Junfeng Song and Changzheng Qu (2011): A new integrable two-component system with cubic nonlinearity, J. Math. Phys. 52, 013503 (PDF file).

139. Zhijun Qiao with Jibin Li (2011): Explicit soliton solutions of the Kaup-Kuperschmidt equation through the dynamical system approach, Journal of Applied Analysis and Computation, 1(2), 243-250 (PDF file).

140. Zhijun Qiao with Guangcai Sun et al (2011): Focus Improvement of Highly Squinted Data Based on Azimuth Nonlinear Scaling, IEEE Transactions on Geoscience and Remote Sensing 49, 2308-2322 (PDF file).

141. Zhijun Qiao with Xianqi Li (2011), AN INTEGRABLE EQUATION WITH NONSMOOTH SOLITONS, Theoretical and Mathematical Physics, 167(2): 584-589 (PDF file, PDF Erratum file).

142. Zhijun Qiao with Jinbing Chen (2011): The Neumann Type Systems and Algebro-Geometric Solutions of a System of Coupled Integrable Equations, Math Phys Anal Geom, 14(2): 171-183 (PDF file).

143. Zhijun Qiao with Zhaqilao (2011): Darboux transformation and explicit solutions for two integrable equations, Journal of Mathematical Analysis and Applications, 380(2), 794-806 (PDF file).

144. Zhijun Qiao with Jinbing Chen (2011): Decomposition of the modified Kadomtsev-Petviashvili equation and its finite band solution, Journal of Nonlinear Mathematical Physics, 18(2): 191-203 (PDF file).

145. Zhijun Qiao with Taixi Xu (2011):  Darboux Transformation and Shock Solitons for Complex MKdV Equation, Pacific Journal of Applied Mathematics 3, Issue 1 ¨C 2, 135 ¨C 145.

146. Zhijun Qiao with Jaime Lopez and Guillermo Garza (2010): Cross-range imaging of SAR and PDE analysis, Proc. of SPIE Vol. 7698 76981C-1-C15, (PDF file).

147. Zhijun Qiao with Jibin Li (2010): Bifurcations of traveling wave solutions for an integrable equation, J. Math. Phys. 51, 042703. (PDF file).

148. Zhijun Qiao with Jinbing Chen (2010): Darboux transformation of the special (2+1)-dimensional Toda lattice and its explicit solution, Phys. Scr. 82 015003. PDF file.

149. Zhijun Qiao with Guoping Zhang (2010): Cusp solitons of the Degasperis-Procesi equation, Journal of Nonlinear Studies 1(3), 339. (PDF file).

150. Zhijun Qiao with Taixi Xu (2010):  Darboux Transformation and Shock Solitons for Complex MKdV Equation, Pacific Journal of Applied Mathematics 3(1~2), 1-10. (PDF file).

151. Zhijun Qiao with Jinbing Chen and Xianguo Geng (2010): New finite gap solutions of the coupled Burgers equations, Chinese Physics B 19, 090403-1 -10. (PDF file).

152. Zhijun Qiao with Jaime Lopez and Guillermo Garza (2009): Cross-Range Imaging of SAR Data, Pacific Journal of Applied Mathematics, 2(3), 65-81. (PDF file).

153. Zhijun Qiao with Liping Liu (2009): A new integrable equation with no smooth solitons, Chaos, Solitons and Fractals 41, 587- 593. (PDF file).

154. Zhijun Qiao with Xianqi Li and Taixi Xu (2009), r-Matrix Structure for the Finite-Dimensional Hamiltonian System with a General Even Function, Pacific Journal of Applied Mathematics 2(1), 1. (PDF file).

155. Zhijun Qiao with Guoping Zhang and Fengshan Liu (2008): Cusp and Smooth Solitons of the Camassa-Holm Equation under an Inhomogeneous Boundary Condition, Pacific Journal of Applied Mathematics 1(1), 105-121. (PDF file).

156. Zhijun Qiao (2008): M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi Equation, Chaos, Solitons and Fractals, 37, 501-507. (PDF file).

157. Zhijun Qiao (2008): A note on r-matrix of the peakon dynamics, Pacific Journal of Applied Mathematics 1(4), 61-65. (PDF file).

158. Zhijun Qiao with Jules Sadefo Kamdem (2008): Decomposition Method for the B-Balanced Shallow Water Equation, International Journal of Evolution Equations 4(1), 91-102. (PDF file).

159. Zhijun Qiao (2008): R-matrix structures and a new integrable peakon equation, Discrete and Computational Mathematics, 343-353. (PDF file).

160. Zhijun Qiao with Xianlin Yang and Shida Tang (2008): Traveling wave solutions of the generalized BBM equation, Pacific Journal of Applied Mathematics 1(3), 99-112. (PDF file).

161. Zhijun Qiao (2007): New integrable hierarchy, parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solutions, Journal of Mathematical Physics 48, 082701-20. (PDF file).

162. Zhijun Qiao with Guoping Zhang (2007): Cuspons and Smooth Solitons of the Degasperis-Procesi Equation under Inhomogeneous Boundary Condition, Mathematical Physics, Analysis and Geometry 10, 205-225. (PDF file).

163. Zhijun Qiao with Sadefo K (2007): Decomposition method for the Camassa-Holm equation, Chaos, Solitons and Fractals 31(2), 437-447. (PDF file).

164. Zhijun Qiao with Sadefo K (2007): Decomposition method for the Degasperis-Procesi equation (journal proceeding paper), International Journal of Nonlinear Operators Theory and Applications 2(1), 9-21. (PDF file).

165. Zhijun Qiao (2006): A new integrable equation with cuspons and W/M-shape-peaks solitons,  Journal of Mathematical Physics 47, 112701-09. (PDF file).

166. Zhijun Qiao with Guoping Zhang (2006): On peaked and smooth solitons for the Camassa-Holm equation, Europhys. Lett., 73, 657-663. (PDF file).

167. Zhijun Qiao with Taixi Xu and Weihua Mou (2006): A finite-dimensional integrable system associated with a polynomial eigenvalue problem, International Journal of Mathematics and Mathematical Sciences, Article ID 13479, doi:10.1155/IJMMS/2006/13479. (PDF file).

168. Zhijun Qiao et al (2006): A Note On Nonlinear Integrable Hamiltonian Systems, Advances in App. and Comp. Mathematics, 171-178. (PDF file).

169. Zhijun Qiao et al (2005): Cusp solitons and cusp-like singular solutions for nonlinear equations, Chaos, Solitons and Fractals 25, 153-163. (PDF file).

170. Zhijun Qiao (2004): Integrable hierarchy (DP hierarchy), 3 by 3 constrained systems, and parametric and stationary solutions, Acta Applicandae Mathematicae 83, 199-220 (PDF file).

171. Zhijun Qiao with Li S. (2004): A new integrable hierarchy (short wave model for the DP), parametric solution, and traveling wave solution, Mathematical Physics, Analysis and Geometry 7(4), 289-308) (PDF file).  

172. Zhijun Qiao (2003): The Camassa-Holm hierarchy, N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold, Communications in Mathematical Physics 239, 309-341 (PDF file).

173. Zhijun Qiao, Cao C., Strampp W. (2003): Category of nonlinear evolution equations, algebraic structure, and r-matrix, Journal of Mathematical Physics 44, 701-722 (PDF file).

174. Zhijun Qiao and Strampp W. (2002): Negative order MKdV hierarchy and a new integrable Neumann-like system, Physica A 313, 365-380. ZMATH: 0998.37021 (PDF file).

175. Zhijun Qiao (2001): Generalized r-matrix structure and algebro-geometric solution for integrable system, Reviews in Mathematical Physics 13, 545-586 (PDF file).

176. Zhijun Qiao (2001): r-matrix and algebro-geometric solution for the AKNS system, Theoretical and Mathematical Physics 127,  827-834 (PDF file).

177. Zhijun Qiao and Strampp W. (2001): L-A-B representation of nonlinear evolution equations and its applications, Physica A 293, 143-156. MR: 2002c:37113 (PDF file).

178. Zhijun Qiao with Zhou R. (2000): On restricted c-KdV and Toda flows of Neumann type, Communication in Theoretical Physics 34, 229-234. MR: 2001j:35250. (PDF file).

179. Zhijun Qiao and Strampp W. (2000): A unisonant r-matrix structure of integrable systems and its reductions, Chinese Physics Letters 17, 235-237. (PDF file).

180. Zhijun Qiao and Strampp W. (1999): A gauge equivalent pair with two different r-matrices, Physics Letters A 263, 365-372. MR: 2000k:81126; ZMATH: 0948.81562 (PDF file).

181. Zhijun Qiao (1999): r-matrix and algebraic-geometric solution for the integrable symplectic map, Chinese Science Bulletin 44, 114-119. MR: 2000g:37121 (PDF file).

182. Zhijun Qiao (1999): C. Neumann system associated with the Levi hierarchy, Northeastern Mathematics Journal 15, 269-273. MR: 2001g:37103 (PDF file).

183. Zhijun Qiao and Strampp W. (1998): On different integrable systems sharing the same non-dynamical r-matrix, Journal of Mathematical Physics 39, 3271-3280. MR: 99d:58088; ZMATH: pre01333845 (PDF file).

184. Zhijun Qiao (1998): New hierarchies of isospectral and non-isospectral integrable NLEEs derived from the Harry-Dym spectral problem, Physica A 252, 377-387. MR: 2000b:37074 (PDF file).

185. Zhijun Qiao (1998): Non-dynamical r-matrix and algebraic-geometric solution for a discrete system, preprint 1996, Chinese Science Bulletin 43, 1149-1153. CMP: 99 07. (PDF file).

186. Zhijun Qiao (1997): Generalized Structure of Lax Representations for Nonlinear Evolution Equation, Applied Mathematics and Mechanics 18, 671-677. (PDF file).

187. Zhijun Qiao and Zhou R. (1997): Discrete and continuous integrable systems possessing the same non-dynamical r-matrix,  Physics Letters A 235, 35-40 (PDF file).

188. Zhijun Qiao (1997): Two new hierarchies containing the sine-Gordon and sinh-Gordon equations, and their Lax representations, Physica A 243, 141-151. MR: 98i:58123 (PDF file).

189. Zhijun Qiao (1997): Modified r-matrix and separation of variables for the MKdV hierarchy, Physica A 243, 129-140 (PDF file).

190. Zhijun Qiao (1997): Generalized Structure of Lax Representations for Hierarchies, Applied Mathematics and Mechanics 18, 625-630. (PDF file).

191. Zhijun Qiao (1997): Completely integrable generalized C. Neumann systems on several symplectic submanifolds, Journal of Nonlinear Mathematical Physics 4, 221-230. MR: 97e:58120; MR: 97b:00013; ZMATH: 0956.37043 (PDF file).

192. Zhijun Qiao (1997): Involutive solutions and commutator representations of the Dirac hierarchy, Chinese Quarterly Journal of Mathematics 12, 1: 1-4. ZMATH: 0905.35078 (PDF file).

193. Zhijun Qiao and Wu X. (1996): Equivalence of spectral problems, evolution equations, and Lax representations, Journal of Exploration and Research Mathematics 16, 256-258. MR: 97c:35181; ZMATH: 0871.35084 (PDF file).

194. Wang H., Geng X. and Zhijun Qiao (1996), A class of coupled nonlinear diffusion equations and completely integrable systems in Liouville's sense, Acta of Liaoning University (Natural Edition) 23, 2: 26-35. (PDF file).

195. Zhijun Qiao (1995): A completely integrable system and the parametric representations of solutions of the WKI hierarchy, Journal of Mathematical Physics 36, 3535-3560. MR: 96m:58118; ZMATH: 0844.58045 (PDF file).

196. Zhijun Qiao (1995): Algebraic structure of operator related to the stationary systems, Physics Letters A 206, 347-358. MR: 96m:35308; ZMATH: pre01401026 (PDF file).

197. Zhijun Qiao (1995): Commutator representations of nonlinear evolution equations: Harry-Dym and Kaup-Newell cases, Journal of Nonlinear Mathematical Physics 2, 151-157. MR: 96k:58120; ZMATH: 0953.37016 (PDF file).

198. Zhijun Qiao (1995): Generation of the hierarchies of solitons and generalized structure of the commutator representation, preprint 1992, Acta Applied Mathematics Sinica 18, 287-301. MR: 97b:58071; ZMATH: 0855.35110 (PDF file).

199. Zhijun Qiao (1995): Commutator representations of the Tu hierarchy of evolution equations, Mathematica Applicata 8, 177-181. MR: 96g:58083; ZMATH: 0949.37500 (PDF file).

200. Zhijun Qiao (1995), Several new spectral problems and their hierarchies of nonlinear evolution equations, Acta of Liaoning University (Natural Edition) 22, 4: 1-5. (PDF file).

201. Zhijun Qiao (1995), Lax representations for a hierarchy of integrable evolution equations, Acta of Liaoning University (Natural Edition) 22, 3: 22-26. (PDF file).

202. Zhijun Qiao (1995), Completely integrable Bargmann system associated with the WKI soliton hierarchy, Acta of Liaoning University (Natural Edition) 22, Suppl.: 26-32. (PDF file).

203. Zhijun Qiao (1994): A hierarchy of nonlinear evolution equations and finite dimensional involutive systems, Journal of Mathematical Physics 35, 2971-2977. MR: 96a:58107; ZMATH: 0806.58046. (PDF file).

204. Zhijun Qiao (1994): Involutive system and integrable C. Neumann system associated with the MKdV hierarchy, Journal of Mathematical Physics 35, 2978-2983. MR: 95d:58070; ZMATH: 0806.58045 (PDF file).

205. Zhijun Qiao (1994): A general approach for getting the commutator representations of the hierarchies of nonlinear evolution equations, Physics Letters A 195, 319-329. MR: 96i:58093; ZMATH: 0961.37516 (PDF file).

206. Zhijun Qiao (1994): Completely integrable system related to a new hierarchy of isospectral evolution equations, Physics Letters A 192, 316-322. MR: 95e:35207; ZMATH: 0959.35515 (PDF file).

207. Zhijun Qiao (1994): A finite dimensional integrable system and the involutive solutions of the higher-order Heisenberg spin chain equations, Physics Letters A 186, 97-102. MR: 95c:82032; ZMATH: 0941.82521 (PDF file).

208. Zhijun Qiao (1994): A completely integrable system associated with the Harry-Dym hierarchy, Journal of Nonlinear Mathematical Physics 1, 65-75. MR: 95c:58101; ZMATH: 0977.37041 (PDF file).

209. Zhijun Qiao (1994): On the involutive solutions of soliton hierarchy, Chinese Quarterly Journal of Mathematics 9, 2: 44-53. ZMATH: pre01580313 (PDF file).

210. Zhijun Qiao (1994): Commutator representations of the LCZ hierarchy, Mathematica Applicata 7, 320-325. MR: 95i:35259; ZMATH: 0925.35135 (PDF file).

211. Li M. and Zhijun Qiao (1994), Trace formulae of a class of eigenvalue problems, Acta of Liaoning University (Natural Edition) 21, 3: 29-34. (PDF file).

212. Zhijun Qiao and Shan Z. (1994), Commutator representations of the MKdV hierarchy and corresponding completely integrable systems in Liouville's sense, Acta of Liaoning University (Natural Edition) 21, 3: 1-11. (PDF file).

213. Zhijun Qiao (1994), Involutive representations of solutions of a hierarchy of nonlinear evolution equations and their involutive conserved systems, Acta of Liaoning University (Natural Edition) 21, 1: 8-18. (PDF file).

214. Zhijun Qiao (1993): A new completely integrable Liouville's system produced by the Kaup-Newell eigenvalue problem, Journal of Mathematical Physics 34, 3110-3120 (PDF file).

215. Zhijun Qiao (1993): Bargmann system and the involutive solutions of the Levi hierarchy, Journal of Physics A 26, 4407-4417 (PDF file).

216. Zhijun Qiao (1993): Two new integrable systems in Liouville's sense, Physics Letters A 172, 224-228 (PDF file).

217. Zhijun Qiao (1993): Commutator representations of three isospectral equation hierarchies, Chinese Journal of Contemporary Mathematics 14, 41-51. MR: 94i:58093. (PDF file).

218. Zhijun Qiao (1993): Commutator Representations for Two Hierarchies of Nonlinear Isospectral Evolution Equations, Northeastern Mathematical Journal 9, 215-225. MR: 94k:35285; ZMATH: 0827.35116. (PDF file).

219. Zhijun Qiao (1993): C. Neumann Constraint and Involutive Solutions of the Tu Hierarchy, Northeastern Mathematical Journal 9, 325-330. MR: 95k:58079; ZMATH: 0809.35128. (PDF file).

220. Zhijun Qiao (1993): Commutator representations for the hierarchies of isospectral evolution equations, Chinese Annual Mathematics A 14, 31-38. MR: 94j:58089; ZMATH: 785.35105. (PDF file).

221. Zhijun Qiao (1993): A kind of Hamiltonian systems with the C. Neumann constraint and WKI hierarchy, Journal of Exploration and Research Mathematics 13, 377-343. MR: 94i:58094; MATH: 0786.35125 (PDF file).

222. Zhijun Qiao (1993): Nonlinearization of Lax pair for Levi hierarchy, Mathematica Applicata 6, 472-476. MR: 95c:35222 (PDF file).

223. Zhijun Qiao (1993), Commutator representations for the Geng hierarchy of evolution equations, Acta of Liaoning University (Natural Edition) 20, 4: 8-16. (PDF file).

224. Li M. and Zhijun Qiao (1993), A proof for the theorem of eigenvalue expansion of the Dirac eigenvalue problem, Acta of Liaoning University (Natural Edition) 20, 3: 9-18. (PDF file).

225. Zhijun Qiao (1993), Completely integrable Bargmann systems related to the LCZ hierarchy of soliton equations, Acta of Liaoning University (Natural Edition) 20, 2: 7-17. (PDF file).

226. Zhijun Qiao (1993), An approach to obtain the commutator representations of the higher order AKNS evolution equations, Acta of Liaoning University (Natural Edition) 20, 1: 25-29. (PDF file).

227. Zhijun Qiao (1992): Commutator representation of WKI hierarchy, Chinese Science Bulletin 37, 763-764. (PDF file).

228. Mou W., Zhang B. and Zhijun Qiao (1992): A new polynomial involutive system and a classical completely integrable system, Acta Applied Mathematics Sinica 8, 348-356. MR: 93m:58053; ZMATH: 0772.58022. (PDF file).

229. Zhijun Qiao and S. Li (1992): Commutator representations of the Levi hierarchy of equations, Acta of Liaoning University (Natural Edition) 19, 2: 5-11. (PDF file).

230. Zhijun Qiao (1992): Commutator representations of the Yang hierarchy of nonlinear evolution equations, Acta of Liaoning University (Natural Edition) 19, 4: 24-29. (PDF file).

231. Zhijun Qiao (1991): Representation of the Lax system for the Levi hierarchy, Chinese Science Bulletin 36, 1756-1757. (PDF file).

232. Zhijun Qiao (1991): Commutator representations for the D-AKNS hierarchy of evolution equations, Mathematica Applicata 4, 64-70. MR: 92m:35239; ZMATH: 0900.35255. (PDF file).

233. Zhijun Qiao (1991), Commutator representations for the hierarchy of nonlinear Schroedinger equations, Acta of Inner Mongolia Normal University (Natural Edition) 9, 1: 16-20. (PDF file).

234. Zhijun Qiao (1990): Lax representations of the Levi hierarchy, Chinese Science Bulletin 35, 1353-1354. (PDF file).

 

Papers in Conference Proceedings

 

ˇ¤        Zhijun Qiao (1995): On commutator representation of soliton equation, Proceedings of the 2nd Youth Academic Annual Conference in Dalian, PR China, Oct. 1995, 18-21.

ˇ¤        Zhijun Qiao (1993): Four new completely integrable finite-dimensional Hamiltonian systems, Proceedings of the 2nd International Conference on Nonlinear Mechanics in Beijing, PR China, August 1993, 729-733. (PDF file).

ˇ¤        Zhijun Qiao (1993): Two kinds of new completely integrable Hamiltonian systems in Liouville's sense, Modern Mathematics and Mechanics (MMM -- V), Ed. Chen Zhida (Xuzhou: Publishing Company of PR China Mining University Press), 663-669. (PDF file).

ˇ¤        Zhijun Qiao (1992): A new kind of C. Neumann constraint and C. Neumann integrable system produced by the Tu spectral problem, Proceedings of the 1st Youth Academic Annual Conference in Shenyang, PR China, Dec. 1992, 11-18. (PDF file).