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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
Favorite  |  View/Download:26/0  |  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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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
Favorite  |  View/Download:27/0  |  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
Favorite  |  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
Authors:  Zhou, Zijian;  Yan, Zhenya
Favorite  |  View/Download:63/0  |  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
Favorite  |  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
Favorite  |  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
Favorite  |  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
Authors:  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  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
Favorite  |  View/Download:107/0  |  Submit date:2020/09/23