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Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations
期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
作者:
Weng, Weifang
;
Zhang, Minghe
;
Zhang, Guoqiang
;
Yan, Zhenya
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2023/02/07
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
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:6/0
  |  
提交时间:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
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
  |  
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:25/0
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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 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
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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
A Method of Riemann-Hilbert Problem for Zhang's Conjecture 1 in a Ferromagnetic 3D Ising Model: Trivialization of Topological Structure
期刊论文
MATHEMATICS, 2021, 卷号: 9, 期号: 7, 页码: 28
作者:
Suzuki, Osamu
;
Zhang, Zhidong
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浏览/下载:12/0
  |  
提交时间:2021/10/15
ferromagnetic 3D Ising model
Clifford algebra
Riemann–
Hilbert problem
trivialization of topological structure
monoidal transformation
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
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