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Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
作者:  Zhou, Zijian;  Song, Jin;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：160/0  |  提交时间：2023/02/07
Logarithmic nonlinear Schrodinger  equation  PT-symmetric potentials  Stable solitons  Interactions  Excitations  
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：168/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
作者:  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：178/0  |  提交时间：2020/01/10
Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media 期刊论文
CHAOS, 2019, 卷号: 29, 期号: 8, 页码: 10
作者:  Chen, Yong;  Yan, Zhenya;  Mihalache, Dumitru
收藏  |  浏览/下载：152/0  |  提交时间：2020/01/10
Attraction centers and parity-time-symmetric delta-functional dipoles in critical and supercritical self-focusing media 期刊论文
PHYSICAL REVIEW E, 2019, 卷号: 99, 期号: 5, 页码: 10
作者:  Wang, Li;  Malomed, Boris A.;  Yan, Zhenya
收藏  |  浏览/下载：158/0  |  提交时间：2020/01/10
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：138/0  |  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  
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  
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：133/0  |  提交时间：2018/07/30
Nonlinear Schrodinger-like equation  PT-symmetric rational potential  Bright solitons  Interactions  Soliton excitations