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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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Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
Authors:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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View/Download:28/0
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Submit date:2022/04/29
Generalized cubic-quintic CH equation
Well-posedness
Wave breaking
Weak solutions
Non-periodic and periodic peakon solutions
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
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View/Download:37/0
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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
Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials
期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
Authors:
Li, Xin
;
Wang, Li
;
Zhou, Zijian
;
Chen, Yong
;
Yan, Zhenya
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Submit date:2022/04/29
Nonlinear Schrodinger equation
PT-symmetric harmonic-hyperbolic-Gaussian potential
Soliton stability
Soliton excitations and collisions
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 430, 页码: 14
Authors:
Chen, Yong
;
Yan, Zhenya
;
Malomed, Boris A.
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Submit date:2022/04/29
Higher-dimensional nonlinear Schrodinger equation
PT -symmetric potentials
Stable solitons
Adiabatic management
Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2257, 页码: 23
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:21/0
  |  
Submit date:2022/04/02
rational vector rogue waves
rational vector solitons
weak and strong interactions
n-component nonlinear wave system with higher-order effects
modified Darboux transform
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
Authors:
Wang, Li
;
Yan, Zhenya
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View/Download:25/0
  |  
Submit date:2022/04/02
Nonlinear dispersive equation
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven peakon and periodic peakon
solutions Data-driven parameter discovery
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:45/0
  |  
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:43/0
  |  
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
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
Authors:
Weng, Weifang
;
Yan, Zhenya
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View/Download:38/0
  |  
Submit date:2021/10/26
Focusing NLS hierarchy
Inverse scattering
Riemann-Hilbert problem
Nonzero boundary conditions
N-triple-pole solitons and breathers
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:
Wang, Li
;
Yan, Zhenya
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View/Download:39/0
  |  
Submit date:2021/10/26
Defocusing NLS equation with the
time-dependent potential
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven rogue waves and parameter discovery