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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：72/0  |  提交时间：2023/02/07
Dirac-Maxwell system  variational methods  periodic solutions  soliton-like solutions  ground states  
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：75/0  |  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  
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  
The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios 期刊论文
CHAOS SOLITONS & FRACTALS, 2019, 卷号: 122, 页码: 25-31
作者:  Yan, Zhenya
收藏  |  浏览/下载：138/0  |  提交时间：2020/01/10
Nonlinear dispersion  NLS(n, n) equation  Multi-hump compactons  Soliton-like solutions  Stability  Interactions  
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
作者:  Zhang Yingnan;  He Yi;  Tam HonWah
收藏  |  浏览/下载：103/0  |  提交时间：2021/01/14
SOLITON-SOLUTIONS  EQUATIONS  LATTICE  Integrability  soliton solution  Backlund transformation (BT)  nonlinear superposition formula  
Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 卷号: 60, 期号: 3, 页码: 919-923
作者:  Xia, Tiecheng;  Xiong, Shouquan
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
(2+1)-dimensional Bogoyavlenskii's breaking soliton equation  (G '/G)-expansion method  Hyperbolic function solutions  Trigonometric function solutions  Rational solutions  
2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Backlund transformation and Lax pair 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 卷号: 202, 期号: 1, 页码: 133-143
作者:  Wang, Hong-Yan;  Hu, Xing-Biao;  Gegenhasi
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Toda lattice with sources  soliton solutions  Backlund transformation and Lax pair  
Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 卷号: 45, 期号: 5, 页码: 785-789
作者:  Wang, MJ;  Wang, Q
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
extended Riccati equation rational expansion method  nonlinear stochastic evolution equation  stochastic mKdV equation  soliton-like solutions  
On an integrable modified (2+1)-dimensional Lotka-Volterra equation 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 卷号: 309, 期号: 2, 页码: 686-700
作者:  Li, CX;  Nimmo, JJC;  Hu, XB
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
modified (2+1)-dimensional Lotka-Volterra equation  self-dual network equation  Backlund transformation  pfaffian solutions  soliton solutions