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数学与系统科学研究... [11]
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期刊论文 [11]
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2022 [3]
2021 [3]
2020 [4]
2019 [1]
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专题:数学与系统科学研究院
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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
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浏览/下载:8/0
  |  
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
Integrable nonlocal derivative nonlinear Schrodinger equations
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
作者:
Ablowitz, Mark J.
;
Luo, Xu-Dan
;
Musslimani, Ziad H.
;
Zhu, Yi
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  |  
浏览/下载:15/0
  |  
提交时间:2022/06/21
inverse scattering transform
Riemann-Hilbert problems
Gel'fand-Levitan-Marchenko equations
the derivative NLS equations
solitons
Integrable nonlocal derivative nonlinear Schr?dinger equations
期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 6
作者:
Ablowitz,Mark J
;
Luo,Xu-Dan
;
Musslimani,Ziad H
;
Zhu,Yi
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  |  
浏览/下载:12/0
  |  
提交时间:2022/06/21
inverse scattering transform
Riemann–Hilbert problems
Gel’fand–Levitan–Marchenko equations
the derivative NLS equations
solitons
Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 2, 页码: 31
作者:
Chen, Shuyan
;
Yan, Zhenya
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浏览/下载:50/0
  |  
提交时间:2021/04/26
Coupled dispersive AB system
Initial-value condition
Riemann-Hilbert problem
Nonlinear steepest descent method
Long-time asymptotics
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
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  |  
浏览/下载:81/0
  |  
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
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浏览/下载:55/0
  |  
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
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
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  |  
浏览/下载:22/0
  |  
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
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  |  
浏览/下载:12/0
  |  
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
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 402, 页码: 14
作者:
Zhang, Guoqiang
;
Yan, Zhenya
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  |  
浏览/下载:22/0
  |  
提交时间:2020/05/24
Nonlocal mKdV equation
Non-zero boundary conditions
Riemann surface
Inverse scattering transform
Matrix Riemann-Hilbert problem
Solitons
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:64/0
  |  
提交时间:2020/01/10
Hirota equation
Non-zero boundary conditions
Inverse scattering
Riemann-Hilbert problem
Solitons
Breathers
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