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Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
作者:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载:190/0  |  提交时间:2020/01/10
Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 卷号: 475, 期号: 2222, 页码: 20
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wang, Li
收藏  |  浏览/下载:167/0  |  提交时间:2020/01/10
general coupled Hirota equations  modulational instability  high-order vector rational or semirational rogue waves  multi-dark-dark solitons  dynamics  
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:169/0  |  提交时间:2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:185/0  |  提交时间:2018/09/08
n-component nonlinear Schrodinger equations  Darboux transformation dark-bright mixed solitons  dark-bright mixed high-order solitons  wing-shaped structure of the breathers  dynamics  
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:108/0  |  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:101/0  |  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:103/0  |  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:105/0  |  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:111/0  |  提交时间:2018/07/30
(2+1)-Dimensional KP equation  Generalized perturbation Darboux transformation  Rational solitons  Rogue waves  
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:113/0  |  提交时间:2018/07/30