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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:10/0
  |  
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
N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
作者:
Zhang, Minghe
;
Weng, Weifang
;
Yan, Zhenya
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  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
Quasi-equivalence of heights in algebraic function fields of one variable
期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 139, 页码: 28
作者:
Feng, Ruyong
;
Feng, Shuang
;
Shen, Li-Yong
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  |  
浏览/下载:6/0
  |  
提交时间:2023/02/07
Height
Algebraic curve
Riemann-Roch space
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:17/0
  |  
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:13/0
  |  
提交时间:2022/06/21
inverse scattering transform
Riemann–Hilbert problems
Gel’fand–Levitan–Marchenko equations
the derivative NLS equations
solitons
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions
期刊论文
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
作者:
Weng, Weifang
;
Yan, Zhenya
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浏览/下载:5/0
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提交时间:2022/04/02
Modified KdV hierarchy
nonzero boundary conditions
Riemann-Hilbert problem
multi-triple-pole solitons and breathers
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
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浏览/下载:27/0
  |  
提交时间:2021/10/26
Focusing NLS hierarchy
Inverse scattering
Riemann-Hilbert problem
Nonzero boundary conditions
N-triple-pole solitons and breathers
GLOBAL SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM
期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
作者:
Chen, Gui-qiang G.
;
Wang, Q. I. N.
;
Zhu, S. H. E. N. G. G. U. O.
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浏览/下载:56/0
  |  
提交时间:2021/10/26
Two-dimensional Riemann problems
global solutions
pressure gradient system
Euler equations
hyperbolic conservation laws
mixed type
degenerate elliptic equations
shocks
transonic shock
vortex sheets
free boundary problem
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
收藏
  |  
浏览/下载:53/0
  |  
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:83/0
  |  
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
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