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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
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View/Download:20/0
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Submit date:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
Authors:
Zhang, Guoqiang
;
Ling, Liming
;
Yan, Zhenya
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View/Download:19/0
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Submit date:2021/10/26
Multi-component NLS equations
Nonzero boundary conditions
Lax pair
Loop group method
Darboux transform
Higher-order vector Peregrine solitons
Parity-time-reversal symmetry
Governing polynomial
Asymptotic estimates
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
Authors:
Chen, Shuyan
;
Yan, Zhenya
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View/Download:58/0
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Submit date: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
Authors:
Chen, Shuyan
;
Yan, Zhenya
;
Guo, Boling
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View/Download:40/0
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Submit date: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
Authors:
Yan, Zhenya
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View/Download:15/0
  |  
Submit date: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
Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions
期刊论文
CHAOS, 2020, 卷号: 30, 期号: 1, 页码: 10
Authors:
Wang, Li
;
Yan, Zhenya
;
Guo, Boling
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View/Download:30/0
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Submit date:2020/09/23
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons
期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
Authors:
Chen, Shuyan
;
Yan, Zhenya
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View/Download:49/0
  |  
Submit date:2020/01/10
Higher-order nonlinear Schrodinger equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers, rogons
Solitons
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
Authors:
Yan, Zhenya
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View/Download:57/0
  |  
Submit date:2020/01/10
The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2019, 卷号: 29, 期号: 1, 页码: 3-27
Authors:
Li, Chunxia
;
Li, Shi-Hao
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View/Download:89/0
  |  
Submit date:2019/03/11
Matrix models
Cauchy biorthogonal polynomials
C-Toda lattice
CKP hierarchy
tau-Function theory
Moment modification, multipeakons, and nonisospectral generalizations
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 9, 页码: 3858-3887
Authors:
Chang, Xiang-Ke
;
Hu, Xing-Biao
;
Li, Shi-Hao
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View/Download:40/0
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Submit date:2018/10/07
Moment modification
Nonisospectral Camassa-Holm type equation
Peakon solutions