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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：181/0  |  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：159/0  |  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：161/0  |  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：179/0  |  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  
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrodinger equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 79, 页码: 123-130
作者:  Yan, Zhenya
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30
Two families of parameters  Local, nonlocal, and mixed-local-nonlocal VNLS equations  Lax pair  Conservation laws  PT symmetry  Symmetry reductions  
Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media 期刊论文
CHAOS, 2018, 卷号: 28, 期号: 4, 页码: 11
作者:  Shen, Yujia;  Wen, Zichao;  Yan, Zhenya;  Hang, Chao
收藏  |  浏览/下载：171/0  |  提交时间：2018/07/30
Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 57, 页码: 34-46
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/25
Multi-dimensional nonlinear  Schrodinger-like equation  PT-symmetric harmonic-Gaussian potential  Stable solitons  Interactions  Soliton excitations  
Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2018, 卷号: 366, 页码: 27-42
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载：147/0  |  提交时间：2018/07/30
Three-wave resonant interactions  Darboux transformation  Multi-dark-dark-dark soliton  Breathers  Rogue waves  Stability  
Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential 期刊论文
NONLINEAR DYNAMICS, 2018, 卷号: 91, 期号: 2, 页码: 853-861
作者:  Li, Xin;  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Nonlinear Schrodinger-like equation  PT-symmetric rational potential  Bright solitons  Interactions  Soliton excitations  
Multi-dark-dark solitons of the integrable repulsive AB system via the determinants 期刊论文
CHAOS, 2017, 卷号: 27, 期号: 8, 页码: 8
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30