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Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
作者:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：180/0  |  提交时间：2020/01/10
Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：159/0  |  提交时间：2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 43, 页码: 311-329
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
(2+1)-Dimensional KP equation  Generalized perturbation Darboux transformation  Rational solitons  Rogue waves  
The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 卷号: 16, 期号: 8, 页码: 3024-3032
作者:  Sun, Ye-Peng;  Tam, Hon-Wah;  Zhu, Bo
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Non-isospectral variable-coefficient KP equation  Source generation procedure  Grammian solution  Coupled system  
Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 卷号: 16, 期号: 7, 页码: 2709-2719
作者:  Zhang, Zhiyong;  Gao, Ben;  Chen, Yufu
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Approximate symmetry  Lie reduction  Approximate invariant solution  Optimal system  
Singularity analysis and explicit solutions of a new coupled nonlinear Schrodinger type equation 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 卷号: 16, 期号: 6, 页码: 2513-2518
作者:  Yong, Xuelin;  Gao, Jianwei;  Zhang, Zhiyong
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Coupled nonlinear Schrodinger type equation  Painleve test  Truncation method  
On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 卷号: 14, 期号: 4, 页码: 1176-1185
作者:  Shen, Yaliang;  Zhu, Yueping;  Cao, Nanbin
收藏  |  浏览/下载：84/0  |  提交时间：2018/07/30
Symbolic computation  Newly extended tanh-function expansion method  Non-travelling wave solution  Soliton-like solution  
The extension of the Jacobi elliptic function rational expansion method 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 卷号: 12, 期号: 5, 页码: 702-713
作者:  Yu, Yaxuan;  Wang, Qi;  Zhang, Hongqing
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
Jacobi elliptic functions  Nonlinear evolution equations  Travelling wave solution  Jacobi elliptic function rational expansion method