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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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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
Authors:
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:9/0
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Submit date: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
Authors:
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:9/0
  |  
Submit date: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
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:6/0
  |  
Submit date:2020/09/23
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
Authors:
Zhang, Guoqiang
;
Chen, Shuyan
;
Yan, Zhenya
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View/Download:25/0
  |  
Submit date:2020/01/10
Hirota equation
Non-zero boundary conditions
Inverse scattering
Riemann-Hilbert problem
Solitons
Breathers
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:17/0
  |  
Submit date:2020/01/10
Higher-order nonlinear Schrodinger equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers, rogons
Solitons
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 95, 页码: 65-71
Authors:
Chen, Shuyan
;
Yan, Zhenya
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View/Download:13/0
  |  
Submit date:2020/01/10
Hirota equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers
Rogue waves
Attraction centers and parity-time-symmetric delta-functional dipoles in critical and supercritical self-focusing media
期刊论文
PHYSICAL REVIEW E, 2019, 卷号: 99, 期号: 5, 页码: 10
Authors:
Wang, Li
;
Malomed, Boris A.
;
Yan, Zhenya
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View/Download:21/0
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Submit date:2020/01/10
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 卷号: 475, 期号: 2222, 页码: 20
Authors:
Zhang, Guoqiang
;
Yan, Zhenya
;
Wang, Li
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View/Download:15/0
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Submit date:2020/01/10
general coupled Hirota equations
modulational instability
high-order vector rational or semirational rogue waves
multi-dark-dark solitons
dynamics
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type
期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
Authors:
Anco, Stephen C.
;
Chang, Xiangke
;
Szmigielski, Jacek
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View/Download:22/0
  |  
Submit date:2019/01/11
inverse problems
Pade approximations
peakons
tri-Hamiltonian
weak solutions
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics
期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
Authors:
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:18/0
  |  
Submit date:2018/07/30
equations
Modulational instability
Darboux transformation
Nth-order vector rational and semi-rational
rogue waves
Superposition of rogue waves
Dynamics