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Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
作者:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：55/0  |  提交时间：2023/02/07
Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 12, 页码: 6422-6452
作者:  Pan, Chen;  Yanheng, Ding;  Hua-Yang, Wang
收藏  |  浏览/下载：71/0  |  提交时间：2023/02/07
Dirac-Maxwell system  variational methods  periodic solutions  soliton-like solutions  ground states  
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:  Zhenya Yan
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  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：73/0  |  提交时间：2023/02/07
Multi-component third-fifth-order mKdV  equations  Lax pair  Riemann-Hilbert approach  Soliton solutions  Breathers  
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
作者:  Weng, Weifang;  Zhang, Guoqiang;  Chen, Shuyan;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Multi-componentHirotaequations  mixedbackgrounds  modifiedDarbouxtransform  semi-rational RWs and W-shaped solitons  asymptotic analysis  
Integrable nonlocal derivative nonlinear Schrodinger equations 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
作者:  Ablowitz, Mark J.;  Luo, Xu-Dan;  Musslimani, Ziad H.;  Zhu, Yi
收藏  |  浏览/下载：105/0  |  提交时间：2022/06/21
inverse scattering transform  Riemann-Hilbert problems  Gel'fand-Levitan-Marchenko equations  the derivative NLS equations  solitons  
Integrable nonlocal derivative nonlinear Schr?dinger equations 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 6
作者:  Ablowitz,Mark J;  Luo,Xu-Dan;  Musslimani,Ziad H;  Zhu,Yi
收藏  |  浏览/下载：90/0  |  提交时间：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
作者:  Weng, Weifang;  Zhang, Guoqiang;  Zhang, Minghe;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：125/0  |  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  
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
作者:  Weng, Weifang;  Zhang, Guoqiang;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
Five-component Manakov system  Non-zero/zero background  Semi-rational solutions  Rogue waves/rogons  Solitons