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数学与系统科学研究... [24]
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期刊论文 [58]
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New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies
期刊论文
OAI收割
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:
Zhenya Yan
  |  
收藏
  |  
浏览/下载:20/0
  |  
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
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions
期刊论文
OAI收割
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
作者:
Weng, Weifang
;
Yan, Zhenya
  |  
收藏
  |  
浏览/下载:24/0
  |  
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
OAI收割
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:
Weng, Weifang
;
Yan, Zhenya
  |  
收藏
  |  
浏览/下载:24/0
  |  
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
OAI收割
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.
  |  
收藏
  |  
浏览/下载:47/0
  |  
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
OAI收割
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:27/0
  |  
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
OAI收割
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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收藏
  |  
浏览/下载:49/0
  |  
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
OAI收割
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:
Yan, Zhenya
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收藏
  |  
浏览/下载:33/0
  |  
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
OAI收割
MATHEMATICS, 2021, 卷号: 9, 期号: 7, 页码: 28
作者:
Suzuki, Osamu
;
Zhang, Zhidong
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收藏
  |  
浏览/下载:15/0
  |  
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
OAI收割
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 410, 页码: 22
作者:
Zhang, Guoqiang
;
Yan, Zhenya
  |  
收藏
  |  
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
OAI收割
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
作者:
Zhang, Guoqiang
;
Yan, Zhenya
  |  
收藏
  |  
浏览/下载:20/0
  |  
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