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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
Authors:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download：4/0  |  Submit date：2023/02/07
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
Authors:  Zhong, Ming;  Yan, Zhenya
Favorite  |  View/Download：8/0  |  Submit date：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
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
Favorite  |  View/Download：6/0  |  Submit date：2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
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
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Chen, Shuyan;  Zhou, Zijian;  Yan, Zhenya
Favorite  |  View/Download：11/0  |  Submit date：2023/02/07
Multi-componentHirotaequations  mixedbackgrounds  modifiedDarbouxtransform  semi-rational RWs and W-shaped solitons  asymptotic analysis  
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：84/0  |  Submit date：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
New type of source extension for a two-dimensional special lattice equation and determinant solutions 期刊论文
Advances in Difference Equations, 2021, 卷号: 2021, 期号: 1
Authors:  Wang,Hong-Yan;  Zhu,Guo-Qing
Favorite  |  View/Download：85/0  |  Submit date：2021/04/26
Two-dimensional special lattice equation  Self-consistent sources  Determinant solution  Soliton solution  
A semi-discrete modified KdV equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 4, 页码: 12
Authors:  Sun, Jianqing;  Hu, Xingbiao;  Zhang, Yingnan
Favorite  |  View/Download：91/0  |  Submit date：2018/07/30
The modified two-dimensional Toda lattice with self-consistent sources 期刊论文
Advances in Difference Equations, 2017, 卷号: 2017, 期号: 1
Authors:  Gegenhasi,
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modified two-dimensional Toda lattice equation  source generation procedure  Grammian determinant  Casorati determinant  37K10  37K40  
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
Authors:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai;  Kong, Linghua
Favorite  |  View/Download：94/0  |  Submit date：2018/07/30
Coupled stochastic nonlinear Schrodinger equations  compact scheme  stochastic multi-symplectic conservation law  energy evolution law  charge conservation law  soliton evolution  soliton interaction  
One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 卷号: 8, 期号: 5, 页码: 1085-1097
Authors:  Zhang Yingnan;  He Yi;  Tam HonWah
Favorite  |  View/Download：58/0  |  Submit date：2021/01/14
SOLITON-SOLUTIONS  EQUATIONS  LATTICE  Integrability  soliton solution  Backlund transformation (BT)  nonlinear superposition formula