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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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Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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View/Download:32/0
  |  
Submit date:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhang, Minghe
;
Zhou, Zijian
;
Yan, Zhenya
Favorite
  |  
View/Download:89/0
  |  
Submit date:2022/04/29
N-component NLS equation
Mixed non-zero and zero backgrounds
Semi-rational rogon-soliton solutions
Soliton-like solutions
Asymptotic analysis
Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
Authors:
Wang, Yunchu
;
Yuan, Li
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View/Download:80/0
  |  
Submit date:2022/04/02
Incompressible Navier-Stokes equations
artificial compressibility
upwind compact difference
convergence
enclosed domain
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:126/0
  |  
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
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:112/0
  |  
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
A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 484, 期号: 1, 页码: 42
Authors:
Kim, Tujin
;
Cao, Daomin
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View/Download:170/0
  |  
Submit date:2020/05/24
Heat-conducting fluids
Dissipative heating
Mixed boundary conditions
Tresca slip
Leak boundary conditions
Pressure boundary condition
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 402, 页码: 14
Authors:
Zhang, Guoqiang
;
Yan, Zhenya
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  |  
View/Download:117/0
  |  
Submit date:2020/05/24
Nonlocal mKdV equation
Non-zero boundary conditions
Riemann surface
Inverse scattering transform
Matrix Riemann-Hilbert problem
Solitons
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
Favorite
  |  
View/Download:146/0
  |  
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:147/0
  |  
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
Favorite
  |  
View/Download:130/0
  |  
Submit date:2020/01/10
Hirota equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers
Rogue waves