Forced(2+1)-dimensional discrete three-wave equation

被引：0

作者：

Junyi Zhu ^{[1
]}

Sishou Zhou ^{[2
]}

Zhijun Qiao ^{[3
]}

机构：

[1] School of Mathematics and Statistics, Zhengzhou University

[2] School of Mathematics and Statistics, Kashgar University

[3] School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley

来源：

Communications in Theoretical Physics | 2020年 / 72卷 / 01期

基金：

中国国家自然科学基金;

关键词：

discrete(2+1)-dimensional three-wave equation; -dressing method; explicit solution;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We generalize the ■-dressing method to investigate a(2+1)-dimensional lattice,which can be regarded as a forced(2+1)-dimensional discrete three-wave equation.The soliton solutions to the(2+1)-dimensional lattice are given through constructing different symmetry conditions.The asymptotic analysis of one-soliton solution is discussed.For the soliton solution,the forces are zero.

引用

页码：37 / 43

页数：7

共 50 条

[31] On Triply Periodic Wave Solutions for (2+1)-Dimensional Boussinesq Equation
Wang Jun-Min
COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (04) : 563 - 567
[32] Complexiton solutions of the (2+1)-dimensional dispersive long wave equation
Chen Yong
Fan En-Gui
CHINESE PHYSICS, 2007, 16 (01): : 6 - 15
[33] LUMP SOLUTIONS TO THE (2+1)-DIMENSIONAL SHALLOW WATER WAVE EQUATION
Ma, Hong-Cai
Ni, Ke
Deng, Aiping
THERMAL SCIENCE, 2017, 21 (04): : 1765 - 1769
[34] A new periodic wave solution for the (2+1)-dimensional Boussinesq equation
Wu Yong-Qi
ACTA PHYSICA SINICA, 2008, 57 (09) : 5390 - 5394
[35] Abundant wave solutions of the Boussinesq equation and the (2+1)-dimensional extended shallow water wave equation
Hossain, Md Dulal
Alam, Md Khorshed
Akbar, M. Ali
OCEAN ENGINEERING, 2018, 165 : 69 - 76
[36] The Soliton Wave Solutions and Bifurcations of the (2+1)-Dimensional Dissipative Long Wave Equation
Yang, Deniu
Zhang, Juan
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2022, 29 (03) : 659 - 677
[37] Deformation characteristics of three-wave solutions and lump N-solitons to the (2 + 1)-dimensional generalized KdV equation
Hou-Ping Dai
Wei Tan
The European Physical Journal Plus, 135
[38] Exact three-wave solution for higher dimensional KdV-type equation
Wang, Chuanjian
Dai, Zhengde
Liang, Lin
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) : 501 - 505
[39] Pfaffianization of the discrete three-dimensional three wave interaction equation
Gegenhasi
Zhao, JX
Hu, XB
Tam, HW
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 407 : 277 - 295
[40] New three-wave solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation
Jian-Guo Liu
Jian-Qiang Du
Zhi-Fang Zeng
Bin Nie
Nonlinear Dynamics, 2017, 88 : 655 - 661

← 1 2 3 4 5 →