Exact three-wave solutions for the (3+1)-dimensional Jimbo-Miwa equation

被引：29
|
作者：
Li, Zitian [1 ]
Dai, Zhengde [2 ]
Liu, Jun [1 ]
机构：
[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
[2] Yunnan Univ, Coll Math & Stat, Kunming 650091, Yunnan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Jimbo-Miwa equation; Hirota; Three-wave; Periodic; Soliton; Breather; WAVE SOLUTIONS;
D O I：
10.1016/j.camwa.2010.08.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exact three-wave solutions including periodic cross-kink wave solutions, doubly periodic solitary wave solutions and breather type of two-solitary wave solutions for the (3 + 1)-dimensional Jimbo-Miwa equation are obtained using the generalized three-wave method. It is shown that the generalized three-wave method, with the help of symbolic computation, provides an effective and powerful mathematical tool for solving high-dimensional nonlinear evolution equations in mathematical physics. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2062 / 2066
页数：5
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