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New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:  Zhenya Yan
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  Solitons  
INVERSE ELASTIC SCATTERING FOR A RANDOM POTENTIAL\ast 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 5, 页码: 5126-5159
作者:  LI, Jianliang;  LI, Peijun;  Wang, Xu
收藏  |  浏览/下载：60/0  |  提交时间：2023/02/07
inverse scattering problem  elastic wave equation  generalized Gaussian random field  pseudodifferential operator  principal symbol  uniqueness  
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：144/0  |  提交时间：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
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：185/0  |  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  
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：144/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation  
The interior inverse electromagnetic scattering for an inhomogeneous cavity 期刊论文
Inverse Problems, 2021, 卷号: 37, 期号: 2
作者:  Zeng,Fang;  Meng,Shixu
收藏  |  浏览/下载：150/0  |  提交时间：2021/04/26
interior inverse scattering  linear sampling method  exterior transmission problem  Maxwell's equations  cavity  
Oscillatory orbits in the restricted planar four body problem 期刊论文
Nonlinearity, 2020, 卷号: 33, 期号: 12
作者:  Seara,Tere M;  Zhang,Jianlu
收藏  |  浏览/下载：145/0  |  提交时间：2021/01/14
restricted planar four body problem  final motions  oscillatory orbits  parabolic orbits  three body problem  lambda lemma  scattering map  restricted planar four body problem  final motions  oscillatory orbits  parabolic orbits  three body problem  lambda lemma  scattering map  primary 37N05  37D10  secondary 70F07  70H09  
Focusing and defocusing mKdV equations with nonzero boundary conditions: Inverse scattering transforms and soliton interactions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 410, 页码: 22
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：155/0  |  提交时间：2020/09/23
Focusing and defocusing mKdV equations  Non-zero boundary conditions  Direct and inverse scattering  Riemann-Hilbert problem  Multi-soliton solutions  Breathers  
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：174/0  |  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  
Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020, 卷号: 54, 期号: 3, 页码: 929-956
作者:  Duan, Xiaoqi;  Jiang, Xue;  Zheng, Weiying
收藏  |  浏览/下载：166/0  |  提交时间：2020/05/24
Cartesian perfectly matched layer  exponential convergence  electromagnetic scattering problem  Maxwell's equation  two-layer medium