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ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 页码: 13
作者:  Yue, Xiao-Lu;  Chang, Xiang-Ke;  Hu, Xing-Biao;  Liu, Ya-Jie
收藏  |  浏览/下载:81/0  |  提交时间:2023/02/07
   Laurent biorthogonal polynomials  three-term recurrence relation  structure relation  compatibility condition  Painlev? equations  
Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials 期刊论文
ANNALS OF PHYSICS, 2017, 卷号: 386, 页码: 44-57
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载:83/0  |  提交时间:2018/07/30
The generalized linear and nonlinear Schrodinger equations  PT-symmetric periodic potentials  Effective-mass modulation  Optical solitons  Stability  
The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations 期刊论文
CHAOS, 2017, 卷号: 27, 期号: 7, 页码: 14
作者:  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrodinger equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 卷号: 473, 期号: 2203, 页码: 19
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
coupled nonlinear Schrodinger equations with four-wave mixing  modulational instability  Darboux transformation  beak-shaped rogue wave  multi-dark-dark solitons  dynamics  
Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations 期刊论文
EPL, 2017, 卷号: 118, 期号: 6, 页码: 6
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses 期刊论文
SCIENTIFIC REPORTS, 2017, 卷号: 7, 页码: 21
作者:  Chen, Yong;  Yan, Zhenya;  Mihalache, Dumitru;  Malomed, Boris A.
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Interactions of localized wave structures and dynamics in the defocusing coupled nonlinear Schrodinger equations 期刊论文
PHYSICAL REVIEW E, 2017, 卷号: 95, 期号: 4, 页码: 12
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong;  Chen, Yong
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 43, 页码: 311-329
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
(2+1)-Dimensional KP equation  Generalized perturbation Darboux transformation  Rational solitons  Rogue waves  
One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 55, 页码: 287-297
作者:  Chen, Yong;  Yan, Zhenya;  Li, Xin
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Generalized nonlinear Schrodinger equation  PT-symmetric lattice potential  Spatially-periodic momentum modulation  Gap solitons  Stability  
Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability 期刊论文
CHAOS, 2016, 卷号: 26, 期号: 12, 页码: 15
作者:  Wen, Xiao-Yong;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30