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中国科学院数学与系统科学研究院机构知识库
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Integrable nonlocal derivative nonlinear Schrodinger equations
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
Authors:
Ablowitz, Mark J.
;
Luo, Xu-Dan
;
Musslimani, Ziad H.
;
Zhu, Yi
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View/Download:17/0
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Submit date:2022/06/21
inverse scattering transform
Riemann-Hilbert problems
Gel'fand-Levitan-Marchenko equations
the derivative NLS equations
solitons
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:40/0
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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
Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 卷号: 73, 期号: 10, 页码: 9
Authors:
Zhou, Zijian
;
Yan, Zhenya
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Submit date:2022/04/02
third-order nonlinear Schrodinger equation
deep learning
data-driven solitons
data-driven parameter discovery
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
Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity
期刊论文
PHYSICAL REVIEW E, 2020, 卷号: 102, 期号: 1, 页码: 11
Authors:
Chen, Yong
;
Yan, Zhenya
;
Mihalache, Dumitru
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Submit date:2020/09/23
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:68/0
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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
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:78/0
  |  
Submit date:2020/01/10
Higher-order nonlinear Schrodinger equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers, rogons
Solitons
Symplectic simulation of dark solitons motion for nonlinear Schrodinger equation
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1485-1503
Authors:
Zhu, Beibei
;
Tang, Yifa
;
Zhang, Ruili
;
Zhang, Yihao
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View/Download:58/0
  |  
Submit date:2020/01/10
Nonlinear Schrodinger equation
Ablowitz-ladik model
Symplectic methods
K-symplectic methods
Invariants