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## Qiao, Zhijun

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 Author ID: qiao.zhijun Published as: Qiao, Zhijun; Qiao, Zhi Jun; Qiao, Zhi-Jun; Qiao, Z. J.; Qiao, Z.
 Documents Indexed: 118 Publications since 1991 1 Contribution as Editor
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#### Co-Authors

 35 single-authored 8 Xia, Baoqiang 7 Li, Jibin 5 Strampp, Walter 4 Hu, Qiaoyi 4 Yin, Zhaoyang 4 Zhou, Ruguang 4 Zhou, Shouming 4 Zhu, Junyi 3 Chen, Jinbing 3 Fan, Engui 3 Hou, Yu 3 Yan, Kai 3 Zhang, Guoping 2 Chen, Aiyong 2 Fang, Ximing 2 Huang, Wentao 2 Li, Fengquan 2 Li, Xianqi 2 Liu, Fengshan 2 Luo, Zhaonan 2 Mu, Chunlai 2 Mu, Weihua 2 Sadefo Kamdem, Jules 2 Wei, Long 2 Xu, Taixi 2 Zhang, Yufeng 2 Zhaqilao, Z. 1 Anco, Stephen C. 1 Bao, Zheng 1 Cao, Cewen 1 Chen, Robin Ming 1 Chen, Rong 1 Fu, Wei 1 Garza, Guillermo 1 Gu, Haicheng 1 Guo, Rui 1 He, Huijun 1 Jiang, Zaihong 1 Li, Shengtai 1 Li, Yongsheng 1 Liu, Liping 1 Liu, Xingxing 1 Liu, Yue 1 Lopez, Jaime X. 1 Luo, Lin 1 Ma, Xinxin 1 Nashed, Zuhair 1 N’Guérékata, Gaston Mandata 1 Pokrajac, Dragoljub 1 Qiao, Xin Brian 1 Qiao, Zhijiang 1 Qu, Changzheng 1 Sadefo Kandem, Jules 1 Sheng, Jian-Lian 1 Shi, Xiquan 1 Song, Junfeng 1 Sun, Junwei 1 Tang, Jiashi 1 Tang, Shengqiang 1 Tovar, Eric 1 Wang, Linlin 1 Wang, Xueru 1 Wang, Yang 1 Wang, Zhen 1 Wang, Zhong 1 Wen, Shuangquan 1 Wu, Xiuwen 1 Xia, Xianggen 1 Xing, Mengdao 1 Xu, Tianzhou 1 Yang, Meiling 1 Yang, Shaojie 1 Yang, Xianlin 1 Zhang, Baocai 1 Zhang, Dajun 1 Zhao, Hengjun 1 Zhao, Peng 1 Zhou, Sishou 1 Zhu, Mingxuan 1 Zhu, Wenjing
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#### Serials

 14 Journal of Mathematical Physics 10 Physics Letters. A 6 Journal of Differential Equations 6 Discrete and Continuous Dynamical Systems 6 Pacific Journal of Applied Mathematics 4 Chaos, Solitons and Fractals 4 Mathematical Physics, Analysis and Geometry 4 Journal of Nonlinear Mathematical Physics 3 Theoretical and Mathematical Physics 3 Northeastern Mathematical Journal 3 Mathematica Applicata 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Nonlinear Mathematical Physics 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Physica A 2 Journal of Geometry and Physics 2 Studies in Applied Mathematics 2 Journal of Mathematical Research & Exposition 2 Applied Mathematics Letters 2 Chinese Quarterly Journal of Mathematics 2 Frontiers of Mathematics in China 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Reviews in Mathematical Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Mathematicae Applicatae Sinica 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series A 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Chinese Science Bulletin 1 Journal of Nonlinear Science 1 Nonlinear Studies 1 Communications in Nonlinear Science and Numerical Simulation 1 Physica Scripta 1 IEEE Transactions on Antennas and Propagation 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 International Journal of Evolution Equations 1 International Journal of Nonlinear Operators Theory and Applications 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Proceedings A. Royal Society of London
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#### Fields

 95 Partial differential equations (35-XX) 69 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 6 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

82 Publications have been cited 858 times in 456 Documents Cited by Year
A new integrable equation with cuspons and W/M-shape-peaks solitons. Zbl 1112.37063
Qiao, Zhijun
2006
The Camassa-Holm hierarchy, $$N$$-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold. Zbl 1020.37046
Qiao, Zhijun
2003
New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons. Zbl 1152.81587
Qiao, Zhijun
2007
A new integrable two-component system with cubic nonlinearity. Zbl 1314.37051
Song, Junfeng; Qu, Changzheng; Qiao, Zhijun
2011
Generalized $$r$$-matrix structure and algebro-geometric solution for integrable system. Zbl 1025.37034
Qiao, Zhijun
2001
An integrable equation with nonsmooth solitons. Zbl 1417.37225
Qiao, Zhijun; Li, Xianqi
2011
A synthetical two-component model with peakon solutions. Zbl 1338.35385
Xia, Baoqiang; Qiao, Zhijun; Zhou, Ruguang
2015
Integrable peakon systems with weak kink and kink-peakon interactional solutions. Zbl 1303.37025
Qiao, Zhijun; Xia, Baoqiang
2013
Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations. Zbl 1380.35050
Li, Jibin; Qiao, Zhijun
2013
Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012
Chen, Robin Ming; Liu, Yue; Qiao, Zhijun
2011
Negative order MKdV hierarchy and a new integrable Neumann-like system. Zbl 0998.37021
Qiao, Zhijun; Strampp, Walter
2002
Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions. Zbl 1317.35219
Yan, Kai; Qiao, Zhijun; Yin, Zhaoyang
2015
Integrable hierarchy, $$3\times 3$$ constrained systems, and parametric solutions. Zbl 1078.37045
Qiao, Zhijun
2004
Bifurcations and exact traveling wave solutions of the generalized two-component Camassa-Holm equation. Zbl 1258.34092
Li, Jibin; Qiao, Zhijun
2012
Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition. Zbl 1153.35385
Zhang, Guoping; Qiao, Zhijun
2007
A new two-component integrable system with peakon solutions. Zbl 1371.35265
Xia, Baoqiang; Qiao, Zhijun
2015
A Bargmann system and the involutive representation of solutions of the Levi hierarchy. Zbl 0802.35135
Qiao, Zhijun
1993
Bifurcations of traveling wave solutions for an integrable equation. Zbl 1310.37034
Li, Jibin; Qiao, Zhijun
2010
A new integrable hierarchy, parametric solutions and traveling wave solutions. Zbl 1068.37052
Qiao, Zhijun; Li, Shengtai
2004
Algebro-geometric solutions for the Degasperis-Procesi hierarchy. Zbl 1291.35286
Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun
2013
$$r$$-matrix and algebraic-geometric solution for integrable symplectic map. Zbl 1142.37361
Qiao, Zhijun
1999
Effects of quadratic singular curves in integrable equations. Zbl 1309.35106
Chen, Aiyong; Wen, Shuangquan; Tang, Shengqiang; Huang, Wentao; Qiao, Zhijun
2015
A new integrable equation with no smooth solitons. Zbl 1198.35209
Qiao, Zhijun; Liu, Liping
2009
A general approach for getting the commutator representations of the hierarchies of nonlinear evolution equations. Zbl 0961.37516
Qiao, Zhijun
1994
Explicit soliton solutions of the Kaup-Kupershmidt equation through the dynamical system approach. Zbl 1304.35616
Li, Jibin; Qiao, Zhijun
2011
Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation. Zbl 1351.37252
Xia, Baoqiang; Zhou, Ruguang; Qiao, Zhijun
2016
Decomposition method for the Camassa-Holm equation. Zbl 1138.35396
2007
M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation. Zbl 1143.35358
Qiao, Zhijun
2008
Multi-component generalization of the Camassa-Holm equation. Zbl 1383.35203
Xia, Baoqiang; Qiao, Zhijun
2016
A new completely integrable Liouville’s system produced by the Kaup– Newell eigenvalue problem. Zbl 0777.58019
Qiao, Zhijun
1993
Discrete and continuous integrable systems possessing the same non-dynamical $$r$$-matrix. Zbl 1044.37539
Qiao, Zhijun; Zhou, Ruguang
1997
Category of nonlinear evolution equations, algebraic structure, and $$r$$-matrix. Zbl 1061.37050
Qiao, Zhijun; Cao, Cewen; Strampp, Walter
2003
Algebraic structure of the operator related to stationary systems. Zbl 1020.35530
Qiao, Zhijun
1995
Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. Zbl 1326.35054
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2015
The $$r$$-matrix and an algebraic-geometric solution of the AKNS system. Zbl 0992.37061
Qiao, Zhijun
2001
Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function. Zbl 1362.35102
Hu, Qiaoyi; Qiao, Zhijun
2016
Continuity and asymptotic behaviors for a shallow water wave model with moderate amplitude. Zbl 1397.35235
Zhou, Shouming; Qiao, Zhijun; Mu, Chunlai; Wei, Long
2017
A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems. Zbl 0806.58046
Qiao, Zhijun
1994
An involutive system and integrable C. Neumann system associated with the modified Korteweg-de Vries hierarchy. Zbl 0806.58045
Qiao, Zhijun
1994
A completely integrable system and parametric representation of solutions of the Wadati-Konno-Ichikawa hierarchy. Zbl 0844.58045
Qiao, Zhijun
1995
A finite-dimensional integrable system and the involutive solutions of the higher-order Heisenberg spin chain equations. Zbl 0941.82521
Qiao, Zhijun
1994
Conserved quantities, global existence and blow-up for a generalized CH equation. Zbl 1364.35053
Wei, Long; Qiao, Zhijun; Wang, Yang; Zhou, Shouming
2017
On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity. Zbl 1284.35135
Liu, Xingxing; Qiao, Zhijun; Yin, Zhaoyang
2014
Darboux transformation and explicit solutions for two integrable equations. Zbl 1223.35108
Zhaqilao; Qiao, Zhijun
2011
Generation of soliton hierarchy and general structure of its commutator representations. Zbl 0855.35110
Qiao, Zhijun
1995
Algebraic traveling wave solutions of a non-local hydrodynamic-type model. Zbl 1310.34002
Chen, Aiyong; Zhu, Wenjing; Qiao, Zhijun; Huang, Wentao
2014
Bifurcations and exact traveling wave solutions for a generalized Camassa-Holm equation. Zbl 1270.34086
Li, Jibin; Qiao, Zhijun
2013
Multi-soliton solutions and the Cauchy problem for a two-component short pulse system. Zbl 1381.37090
Zhaqilao, Z.; Hu, Qiaoyi; Qiao, Zhijun
2017
Commutator representation of $$D$$-AKNS hierarchy. Zbl 0900.35255
Qiao, Zhijun
1991
Traveling wave solutions of the generalized BBM equation. Zbl 1356.35083
Yang, Xian-Lin; Tang, Jia-Shi; Qiao, Zhijun
2009
Generalized structure of Lax representations for nonlinear evolution equation. Zbl 0904.35087
Qiao, Zhijun
1997
Completely integrable system related to a new hierarchy of isospectral evolution equations. Zbl 0959.35515
Qiao, Zhi Jun
1994
Persistence properties and unique continuation for a dispersionless two-component Camassa-Holm system with peakon and weak kink solutions. Zbl 1336.35059
Hu, Qiaoyi; Qiao, Zhijun
2016
Algebro-geometric solutions for the derivative Burgers hierarchy. Zbl 1312.37040
Hou, Yu; Fan, Engui; Qiao, Zhijun; Wang, Zhong
2015
The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy. Zbl 1386.14131
Hou, Yu; Fan, Engui; Qiao, Zhijun
2017
Commutator representations of three isospectral equation hierarchies. Zbl 0785.35105
Qiao, Zhijun
1993
Darboux transformation of the special $$(2+1)$$-dimensional Toda lattice and its explicit solution. Zbl 1209.37077
Chen, Jinbing; Qiao, Zhijun
2010
Cusp solitons and cusp-like singular solutions for nonlinear equations. Zbl 1070.35099
Qiao, Zhijun; Qiao, Xin Brian
2005
Integrable generalization of the associated Camassa-Holm equation. Zbl 1331.37093
Luo, Lin; Qiao, Zhijun; Lopez, Juan
2014
On a new two-component $$b$$-family peakon system with cubic nonlinearity. Zbl 1421.35210
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2018
High-resolution ISAR imaging by exploiting sparse apertures. Zbl 1369.94038
Zhang, Lei; Qiao, Zhi-Jun; Xing, Meng-Dao; Sheng, Jian-Lian; Guo, Rui; Bao, Zheng
2012
Well-posedness and peakons for a higher-order $$\mu$$-Camassa-Holm equation. Zbl 06914315
Wang, Feng; Li, Fengquan; Qiao, Zhijun
2018
An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions. Zbl 07265248
Xia, Baoqiang; Qiao, Zhijun; Li, Jibin
2018
Bifurcation and traveling wave solutions for the Fokas equation. Zbl 1326.34016
Li, Jibin; Qiao, Zhijun
2015
Involutive solutions and commutator representations of the Dirac hierarchy. Zbl 0905.35078
Qiao, Zhijun
1997
On different integrable systems sharing the same nondynamical $$r$$-matrix. Zbl 1003.37039
Qiao, Zhijun; Strampp, Walter
1998
Commutator representations of nonlinear evolution equations: Harry Dym and Kaup-Newell cases. Zbl 0953.37016
Qiao, Zhijun
1995
Completely integrable generalized C. Neumann systems on several symplectic submanifolds. Zbl 0956.37043
Qiao, Zhijun
1997
A completely integrable system associated with the Harry Dym hierarchy. Zbl 0977.37041
Qiao, Zhi Jun
1994
Persistence properties and wave-breaking criteria for the Geng-Xue system. Zbl 1437.35105
Chen, Rong; Qiao, Zhijun; Zhou, Shouming
2019
Blow-up phenomena and peakons for the $$b$$-family of FORQ/MCH equations. Zbl 1409.35037
Yang, Shaojie; Qiao, Zhijun; Xu, Tianzhou
2019
Inverse spectral transform for the Ragnisco-Tu equation with heaviside initial condition. Zbl 1415.34036
Zhu, Junyi; Wang, Linlin; Qiao, Zhijun
2019
On the Cauchy problem for a higher-order $$\mu$$-Camassa-Holm equation. Zbl 1397.35070
Wang, Feng; Li, Fengquan; Qiao, Zhijun
2018
A three-component Camassa-Holm system with cubic nonlinearity and peakons. Zbl 1420.37092
Xia, Baoqiang; Zhou, Ruguang; Qiao, Zhijun
2015
On peakon and kink-peakon Solutions to a $$(2 + 1)$$ dimensional generalized Camassa-Holm Equation. Zbl 1420.35062
Tovar, Eric; Gu, Haicheng; Qiao, Zhijun
2017
The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system. Zbl 1428.35101
Zhang, Lei; Qiao, Zhijun
2020
Darboux transformation and shock solitons for complex MKdV equation. Zbl 1285.35102
Xu, Taixi; Qiao, Zhijun
2011
Persistence properties and wave-breaking criteria for a generalized two-component rotational b-family system. Zbl 1436.35039
Yang, Meiling; Li, Yongsheng; Qiao, Zhijun
2020
Forced $$(2+1)$$-dimensional discrete three-wave equation. Zbl 1452.35164
Zhu, Junyi; Zhou, Sishou; Qiao, Zhijun
2020
On the Cauchy problem for a modified Camassa-Holm equation. Zbl 1451.35169
Luo, Zhaonan; Qiao, Zhijun; Yin, Zhaoyang
2020
Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space. Zbl 1458.35125
Zhang, Lei; Qiao, Zhijun
2021
New solutions to the differential-difference KP equation. Zbl 1458.35021
Wang, Xueru; Zhu, Junyi; Qiao, Zhijun
2021
Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space. Zbl 1458.35125
Zhang, Lei; Qiao, Zhijun
2021
New solutions to the differential-difference KP equation. Zbl 1458.35021
Wang, Xueru; Zhu, Junyi; Qiao, Zhijun
2021
The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system. Zbl 1428.35101
Zhang, Lei; Qiao, Zhijun
2020
Persistence properties and wave-breaking criteria for a generalized two-component rotational b-family system. Zbl 1436.35039
Yang, Meiling; Li, Yongsheng; Qiao, Zhijun
2020
Forced $$(2+1)$$-dimensional discrete three-wave equation. Zbl 1452.35164
Zhu, Junyi; Zhou, Sishou; Qiao, Zhijun
2020
On the Cauchy problem for a modified Camassa-Holm equation. Zbl 1451.35169
Luo, Zhaonan; Qiao, Zhijun; Yin, Zhaoyang
2020
Persistence properties and wave-breaking criteria for the Geng-Xue system. Zbl 1437.35105
Chen, Rong; Qiao, Zhijun; Zhou, Shouming
2019
Blow-up phenomena and peakons for the $$b$$-family of FORQ/MCH equations. Zbl 1409.35037
Yang, Shaojie; Qiao, Zhijun; Xu, Tianzhou
2019
Inverse spectral transform for the Ragnisco-Tu equation with heaviside initial condition. Zbl 1415.34036
Zhu, Junyi; Wang, Linlin; Qiao, Zhijun
2019
On a new two-component $$b$$-family peakon system with cubic nonlinearity. Zbl 1421.35210
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2018
Well-posedness and peakons for a higher-order $$\mu$$-Camassa-Holm equation. Zbl 06914315
Wang, Feng; Li, Fengquan; Qiao, Zhijun
2018
An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions. Zbl 07265248
Xia, Baoqiang; Qiao, Zhijun; Li, Jibin
2018
On the Cauchy problem for a higher-order $$\mu$$-Camassa-Holm equation. Zbl 1397.35070
Wang, Feng; Li, Fengquan; Qiao, Zhijun
2018
Continuity and asymptotic behaviors for a shallow water wave model with moderate amplitude. Zbl 1397.35235
Zhou, Shouming; Qiao, Zhijun; Mu, Chunlai; Wei, Long
2017
Conserved quantities, global existence and blow-up for a generalized CH equation. Zbl 1364.35053
Wei, Long; Qiao, Zhijun; Wang, Yang; Zhou, Shouming
2017
Multi-soliton solutions and the Cauchy problem for a two-component short pulse system. Zbl 1381.37090
Zhaqilao, Z.; Hu, Qiaoyi; Qiao, Zhijun
2017
The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy. Zbl 1386.14131
Hou, Yu; Fan, Engui; Qiao, Zhijun
2017
On peakon and kink-peakon Solutions to a $$(2 + 1)$$ dimensional generalized Camassa-Holm Equation. Zbl 1420.35062
Tovar, Eric; Gu, Haicheng; Qiao, Zhijun
2017
Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation. Zbl 1351.37252
Xia, Baoqiang; Zhou, Ruguang; Qiao, Zhijun
2016
Multi-component generalization of the Camassa-Holm equation. Zbl 1383.35203
Xia, Baoqiang; Qiao, Zhijun
2016
Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function. Zbl 1362.35102
Hu, Qiaoyi; Qiao, Zhijun
2016
Persistence properties and unique continuation for a dispersionless two-component Camassa-Holm system with peakon and weak kink solutions. Zbl 1336.35059
Hu, Qiaoyi; Qiao, Zhijun
2016
A synthetical two-component model with peakon solutions. Zbl 1338.35385
Xia, Baoqiang; Qiao, Zhijun; Zhou, Ruguang
2015
Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions. Zbl 1317.35219
Yan, Kai; Qiao, Zhijun; Yin, Zhaoyang
2015
A new two-component integrable system with peakon solutions. Zbl 1371.35265
Xia, Baoqiang; Qiao, Zhijun
2015
Effects of quadratic singular curves in integrable equations. Zbl 1309.35106
Chen, Aiyong; Wen, Shuangquan; Tang, Shengqiang; Huang, Wentao; Qiao, Zhijun
2015
Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. Zbl 1326.35054
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2015
Algebro-geometric solutions for the derivative Burgers hierarchy. Zbl 1312.37040
Hou, Yu; Fan, Engui; Qiao, Zhijun; Wang, Zhong
2015
Bifurcation and traveling wave solutions for the Fokas equation. Zbl 1326.34016
Li, Jibin; Qiao, Zhijun
2015
A three-component Camassa-Holm system with cubic nonlinearity and peakons. Zbl 1420.37092
Xia, Baoqiang; Zhou, Ruguang; Qiao, Zhijun
2015
On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity. Zbl 1284.35135
Liu, Xingxing; Qiao, Zhijun; Yin, Zhaoyang
2014
Algebraic traveling wave solutions of a non-local hydrodynamic-type model. Zbl 1310.34002
Chen, Aiyong; Zhu, Wenjing; Qiao, Zhijun; Huang, Wentao
2014
Integrable generalization of the associated Camassa-Holm equation. Zbl 1331.37093
Luo, Lin; Qiao, Zhijun; Lopez, Juan
2014
Integrable peakon systems with weak kink and kink-peakon interactional solutions. Zbl 1303.37025
Qiao, Zhijun; Xia, Baoqiang
2013
Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations. Zbl 1380.35050
Li, Jibin; Qiao, Zhijun
2013
Algebro-geometric solutions for the Degasperis-Procesi hierarchy. Zbl 1291.35286
Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun
2013
Bifurcations and exact traveling wave solutions for a generalized Camassa-Holm equation. Zbl 1270.34086
Li, Jibin; Qiao, Zhijun
2013
Bifurcations and exact traveling wave solutions of the generalized two-component Camassa-Holm equation. Zbl 1258.34092
Li, Jibin; Qiao, Zhijun
2012
High-resolution ISAR imaging by exploiting sparse apertures. Zbl 1369.94038
Zhang, Lei; Qiao, Zhi-Jun; Xing, Meng-Dao; Sheng, Jian-Lian; Guo, Rui; Bao, Zheng
2012
A new integrable two-component system with cubic nonlinearity. Zbl 1314.37051
Song, Junfeng; Qu, Changzheng; Qiao, Zhijun
2011
An integrable equation with nonsmooth solitons. Zbl 1417.37225
Qiao, Zhijun; Li, Xianqi
2011
Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012
Chen, Robin Ming; Liu, Yue; Qiao, Zhijun
2011
Explicit soliton solutions of the Kaup-Kupershmidt equation through the dynamical system approach. Zbl 1304.35616
Li, Jibin; Qiao, Zhijun
2011
Darboux transformation and explicit solutions for two integrable equations. Zbl 1223.35108
Zhaqilao; Qiao, Zhijun
2011
Darboux transformation and shock solitons for complex MKdV equation. Zbl 1285.35102
Xu, Taixi; Qiao, Zhijun
2011
Bifurcations of traveling wave solutions for an integrable equation. Zbl 1310.37034
Li, Jibin; Qiao, Zhijun
2010
Darboux transformation of the special $$(2+1)$$-dimensional Toda lattice and its explicit solution. Zbl 1209.37077
Chen, Jinbing; Qiao, Zhijun
2010
A new integrable equation with no smooth solitons. Zbl 1198.35209
Qiao, Zhijun; Liu, Liping
2009
Traveling wave solutions of the generalized BBM equation. Zbl 1356.35083
Yang, Xian-Lin; Tang, Jia-Shi; Qiao, Zhijun
2009
M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation. Zbl 1143.35358
Qiao, Zhijun
2008
New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons. Zbl 1152.81587
Qiao, Zhijun
2007
Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition. Zbl 1153.35385
Zhang, Guoping; Qiao, Zhijun
2007
Decomposition method for the Camassa-Holm equation. Zbl 1138.35396
2007
A new integrable equation with cuspons and W/M-shape-peaks solitons. Zbl 1112.37063
Qiao, Zhijun
2006
Cusp solitons and cusp-like singular solutions for nonlinear equations. Zbl 1070.35099
Qiao, Zhijun; Qiao, Xin Brian
2005
Integrable hierarchy, $$3\times 3$$ constrained systems, and parametric solutions. Zbl 1078.37045
Qiao, Zhijun
2004
A new integrable hierarchy, parametric solutions and traveling wave solutions. Zbl 1068.37052
Qiao, Zhijun; Li, Shengtai
2004
The Camassa-Holm hierarchy, $$N$$-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold. Zbl 1020.37046
Qiao, Zhijun
2003
Category of nonlinear evolution equations, algebraic structure, and $$r$$-matrix. Zbl 1061.37050
Qiao, Zhijun; Cao, Cewen; Strampp, Walter
2003
Negative order MKdV hierarchy and a new integrable Neumann-like system. Zbl 0998.37021
Qiao, Zhijun; Strampp, Walter
2002
Generalized $$r$$-matrix structure and algebro-geometric solution for integrable system. Zbl 1025.37034
Qiao, Zhijun
2001
The $$r$$-matrix and an algebraic-geometric solution of the AKNS system. Zbl 0992.37061
Qiao, Zhijun
2001
$$r$$-matrix and algebraic-geometric solution for integrable symplectic map. Zbl 1142.37361
Qiao, Zhijun
1999
On different integrable systems sharing the same nondynamical $$r$$-matrix. Zbl 1003.37039
Qiao, Zhijun; Strampp, Walter
1998
Discrete and continuous integrable systems possessing the same non-dynamical $$r$$-matrix. Zbl 1044.37539
Qiao, Zhijun; Zhou, Ruguang
1997
Generalized structure of Lax representations for nonlinear evolution equation. Zbl 0904.35087
Qiao, Zhijun
1997
Involutive solutions and commutator representations of the Dirac hierarchy. Zbl 0905.35078
Qiao, Zhijun
1997
Completely integrable generalized C. Neumann systems on several symplectic submanifolds. Zbl 0956.37043
Qiao, Zhijun
1997
Algebraic structure of the operator related to stationary systems. Zbl 1020.35530
Qiao, Zhijun
1995
A completely integrable system and parametric representation of solutions of the Wadati-Konno-Ichikawa hierarchy. Zbl 0844.58045
Qiao, Zhijun
1995
Generation of soliton hierarchy and general structure of its commutator representations. Zbl 0855.35110
Qiao, Zhijun
1995
Commutator representations of nonlinear evolution equations: Harry Dym and Kaup-Newell cases. Zbl 0953.37016
Qiao, Zhijun
1995
A general approach for getting the commutator representations of the hierarchies of nonlinear evolution equations. Zbl 0961.37516
Qiao, Zhijun
1994
A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems. Zbl 0806.58046
Qiao, Zhijun
1994
An involutive system and integrable C. Neumann system associated with the modified Korteweg-de Vries hierarchy. Zbl 0806.58045
Qiao, Zhijun
1994
A finite-dimensional integrable system and the involutive solutions of the higher-order Heisenberg spin chain equations. Zbl 0941.82521
Qiao, Zhijun
1994
Completely integrable system related to a new hierarchy of isospectral evolution equations. Zbl 0959.35515
Qiao, Zhi Jun
1994
A completely integrable system associated with the Harry Dym hierarchy. Zbl 0977.37041
Qiao, Zhi Jun
1994
A Bargmann system and the involutive representation of solutions of the Levi hierarchy. Zbl 0802.35135
Qiao, Zhijun
1993
A new completely integrable Liouville’s system produced by the Kaup– Newell eigenvalue problem. Zbl 0777.58019
Qiao, Zhijun
1993
Commutator representations of three isospectral equation hierarchies. Zbl 0785.35105
Qiao, Zhijun
1993
Commutator representation of $$D$$-AKNS hierarchy. Zbl 0900.35255
Qiao, Zhijun
1991
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#### Cited by 465 Authors

 58 Qiao, Zhijun 27 Li, Jibin 24 Fan, Engui 13 Geng, Xianguo 12 Zhou, Ruguang 11 Qu, Changzheng 10 Chen, Aiyong 10 Liu, Yue 10 Yin, Zhaoyang 9 Chen, Jinbing 9 Mi, Yongsheng 9 Zhang, Yufeng 8 Himonas, A. Alexandrou 8 Tang, Shengqiang 8 Wu, Lihua 8 Xia, Baoqiang 8 Xia, Tie-Cheng 8 Zhou, Shouming 8 Zhu, Wenjing 7 Hou, Yu 7 Li, Nianhua 7 Liu, Xingxing 7 Mu, Chunlai 7 Wen, Zhenshu 7 Zhang, Hongqing 7 Zhaqilao, Z. 6 Chang, Xiangke 6 Chen, Dengyuan 6 Chen, Guanrong 6 Du, Dianlou 6 Zhu, Min 5 Anco, Stephen C. 5 Huang, Wentao 5 Liu, Xiaochuan 5 Liu, Zhengrong 5 Luo, Lin 5 Szmigielski, Jacek 5 Yan, Kai 5 Yang, Shaojie 5 Yang, Xiao 5 Zhang, Lina 5 Zhang, Yi 4 Gao, Yu 4 Guo, Boling 4 He, Guoliang 4 Hon, Yiu-Chung 4 Hu, Qiaoyi 4 Khalique, Chaudry Masood 4 Liu, Qingping 4 Mantzavinos, Dionyssios 4 Olver, Peter John 4 Pan, Chaohong 4 Qin, Zhenyun 4 Tian, Shoufu 4 Xia, Yonghui 4 Zhang, Lijun 4 Zhao, Haixia 4 Zhao, Peng 4 Zhao, Qiulan 4 Zhou, Yan 3 Bai, Yuzhen 3 Boutet de Monvel, Anne Marie 3 Chen, Xiaohong 3 Dong, Huanhe 3 Fu, Ying 3 Gao, Hongjun 3 Hu, Xingbiao 3 Huang, Daiwen 3 Jiang, Zaihong 3 Li, Chunhai 3 Li, Yongsheng 3 Li, Zhu 3 Liang, Jianli 3 Liu, Jianguo 3 Ma, Wen-Xiu 3 Moon, Byungsoo 3 Shepelsky, Dmitry 3 Strampp, Walter 3 Tian, Lixin 3 Wang, Haifeng 3 Wei, Minzhi 3 Xu, Tianzhou 3 Zhang, Baoshuai 3 Zhang, Shuanghu 3 Zhang, Zeng 3 Zhao, Songlin 3 Zhu, Junyi 3 Zhu, Mingxuan 2 Barostichi, Rafael F. 2 Biswas, Anjan 2 Chen, Fengjuan 2 Chen, Rong 2 Chen, Yong 2 Dong, Fengfeng 2 Dong, Xiaofang 2 Fan, Lili 2 Feng, Yang 2 Gui, Guilong 2 Guo, Fei 2 Han, Maoan ...and 365 more Authors
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#### Cited in 95 Serials

 53 Journal of Mathematical Physics 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Discrete and Continuous Dynamical Systems 17 Chaos, Solitons and Fractals 17 Journal of Nonlinear Mathematical Physics 17 Journal of Applied Analysis and Computation 16 Journal of Mathematical Analysis and Applications 16 Journal of Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Applied Mathematics and Computation 14 Advances in Mathematical Physics 13 Nonlinear Dynamics 12 Communications in Nonlinear Science and Numerical Simulation 11 Journal of Nonlinear Science 10 Theoretical and Mathematical Physics 9 Nonlinear Analysis. Real World Applications 8 Applied Mathematics Letters 7 Applicable Analysis 7 Studies in Applied Mathematics 7 Communications in Theoretical Physics 6 Modern Physics Letters B 6 Communications in Mathematical Physics 5 Physics Letters. A 5 Journal of Geometry and Physics 5 Mathematical Physics, Analysis and Geometry 5 Advances in Difference Equations 4 Reports on Mathematical Physics 4 Monatshefte für Mathematik 4 Physica D 4 Abstract and Applied Analysis 4 Frontiers of Mathematics in China 3 Mathematical Methods in the Applied Sciences 3 Reviews in Mathematical Physics 3 Advances in Mathematics 3 Mathematical Problems in Engineering 3 Journal of Evolution Equations 3 International Journal of Geometric Methods in Modern Physics 3 Boundary Value Problems 3 Analysis and Mathematical Physics 2 Computers & Mathematics with Applications 2 International Journal of Theoretical Physics 2 Letters in Mathematical Physics 2 Physica A 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics and Mathematical Sciences 2 Quarterly of Applied Mathematics 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Complexity 2 Qualitative Theory of Dynamical Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Partial Differential Equations 1 International Journal of Modern Physics B 1 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Computational Mathematics and Mathematical Physics 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Russian Journal of Mathematical Physics 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Dynamical and Control Systems 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 Journal of Hyperbolic Differential Equations 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 Journal of Geometric Mechanics 1 Science China. Mathematics 1 Science China. Information Sciences 1 Problemy Analiza. Issues of Analysis 1 Advances in Nonlinear Analysis 1 Journal of Mathematical Modelling and Algorithms in Operations Research 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Electronic Research Archive
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#### Cited in 32 Fields

 382 Partial differential equations (35-XX) 222 Dynamical systems and ergodic theory (37-XX) 46 Ordinary differential equations (34-XX) 29 Fluid mechanics (76-XX) 16 Algebraic geometry (14-XX) 13 Quantum theory (81-XX) 12 Mechanics of particles and systems (70-XX) 11 Nonassociative rings and algebras (17-XX) 9 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)