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The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:158/0  |  提交时间:2020/09/23
Derivative nonlinear Schrodinger equation  Modified Zakharov-Shabat eigenvalue problem  Inverse scattering  Riemann-Hilbert problem  Zero  nonzero boundary conditions  Double-pole solitons and breathers  
Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions 期刊论文
CHAOS, 2020, 卷号: 30, 期号: 1, 页码: 10
作者:  Wang, Li;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载:135/0  |  提交时间:2020/09/23
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 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  
L-2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 5, 页码: 2737-2791
作者:  Kang, Moon-Jin;  Vasseur, Alexis F.;  Wang, Yi
收藏  |  浏览/下载:215/0  |  提交时间:2020/01/10
NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION 期刊论文
KINETIC AND RELATED MODELS, 2019, 卷号: 12, 期号: 3, 页码: 637-679
作者:  Wang, Teng;  Wang, Yi
收藏  |  浏览/下载:204/0  |  提交时间:2019/04/02
Boltzmann equation  planar rarefaction wave  time-asymptotic stability  
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 7, 页码: 14
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载:137/0  |  提交时间:2018/09/08
STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 卷号: 50, 期号: 5, 页码: 4937-4963
作者:  Li, Lin-An;  Wang, Yi
收藏  |  浏览/下载:172/0  |  提交时间:2019/01/11
planar rarefaction wave  stability  compressible Navier-Stokes equation