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Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
作者:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  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
作者:  Zhou, Zijian;  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：74/0  |  提交时间：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
作者:  Zhang, Minghe;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：76/0  |  提交时间：2023/02/07
Multi-component third-fifth-order mKdV  equations  Lax pair  Riemann-Hilbert approach  Soliton solutions  Breathers  
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
作者:  Weng, Weifang;  Zhang, Guoqiang;  Zhang, Minghe;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：127/0  |  提交时间：2022/04/29
N-component NLS equation  Mixed non-zero and zero backgrounds  Semi-rational rogon-soliton solutions  Soliton-like solutions  Asymptotic analysis  
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
作者:  Chen, Yong;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载：127/0  |  提交时间：2022/04/29
Higher-dimensional nonlinear Schrodinger equation  PT -symmetric potentials  Stable solitons  Adiabatic management  
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
作者:  Weng, Weifang;  Zhang, Guoqiang;  Wang, Li;  Zhang, Minghe;  Yan, Zhenya
收藏  |  浏览/下载：157/0  |  提交时间：2022/04/29
n-component Hirota equation  Non-zero backgrounds  Modified Darboux transform  Multiple roots  Rational RWs and W-shaped solitons  Non-integrable deformation  
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
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：133/0  |  提交时间：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
Scalar V-soliton equation and Kahler-Ricci flow on symplectic quotients 期刊论文
ADVANCES IN MATHEMATICS, 2020, 卷号: 371, 页码: 23
作者:  Li, Chang
收藏  |  浏览/下载：129/0  |  提交时间：2020/09/23
Kahler-Ricci flow  V-soliton equation  Kahler manifold  A priori estimates  
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
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：144/0  |  提交时间：2020/09/23
Focusing and defocusing mKdV equations  Non-zero boundary conditions  Direct and inverse scattering  Riemann-Hilbert problem  Multi-soliton solutions  Breathers  
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
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：153/0  |  提交时间：2020/05/24
Nonlocal mKdV equation  Non-zero boundary conditions  Riemann surface  Inverse scattering transform  Matrix Riemann-Hilbert problem  Solitons