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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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Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
Authors:
Song, Jin
;
Yan, Zhenya
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View/Download:26/0
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Submit date:2023/02/07
Amended Gross-Pitaevskii equations
PT -symmetric potential
Quantum droplets
Stable solitons
Soliton interactions and excitations
Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes
期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
Authors:
Zhou, Zijian
;
Wang, Li
;
Yan, Zhenya
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View/Download:29/0
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Submit date:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
Authors:
Zhang, Minghe
;
Weng, Weifang
;
Yan, Zhenya
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View/Download:27/0
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Submit date:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions
期刊论文
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
Authors:
Weng, Weifang
;
Yan, Zhenya
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View/Download:72/0
  |  
Submit date:2022/04/02
Modified KdV hierarchy
nonzero boundary conditions
Riemann-Hilbert problem
multi-triple-pole solitons and breathers
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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View/Download:63/0
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Submit date:2022/04/02
third-order nonlinear Schrodinger equation
deep learning
data-driven solitons
data-driven parameter discovery
Deep learning neural networks for the third-order nonlinear Schr?dinger equation: bright solitons, breathers, and rogue waves
期刊论文
Communications in Theoretical Physics, 2021, 卷号: 73, 期号: 10
Authors:
Zhou,Zijian
;
Yan,Zhenya
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View/Download:72/0
  |  
Submit date:2022/04/02
third-order nonlinear Schr?dinger 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:102/0
  |  
Submit date:2021/10/26
Focusing NLS hierarchy
Inverse scattering
Riemann-Hilbert problem
Nonzero boundary conditions
N-triple-pole solitons and breathers
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:110/0
  |  
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
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:127/0
  |  
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:107/0
  |  
Submit date:2020/09/23