New families of travelling wave solutions for Boussinesq-Burgers equation and (3+1)-dimensional Kadomtsev-Petviashvili equation

被引：8
作者：
Gao, Liang [1 ]
Xu, Wei
Tang, Yaning
Meng, Gaofeng
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
[2] Xian Jiaotong Univ, Inst Artificial Intelligence & Robot, Xian 710049, Peoples R China
来源：
PHYSICS LETTERS A | 2007年 / 366卷 / 4-5期
基金：
中国国家自然科学基金;
关键词：
Boussinesq-Burgers equation; (3+1)-dimensional Kadomtsev-Petviashvili equation; generalized algebraic method; explicit exact travelling wave solutions;
D O I：
10.1016/j.physleta.2007.02.040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, Boussmesq-Burgers equation and (3 + 1)-dimensional Kadomtsev-Petviashvili equation are studied by using a generalized algebraic method. A variety of explicit exact travelling wave solutions, including solitary wave, Jacobi and Weierstrass elliptic function periodic, triangular periodic and rational solutions, are obtained. Many new results are presented. The proposed method can be also extended to construct more new exact travelling wave solutions of some nonlinear evolution equations with variable coefficients in mathematical physics. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：411 / 421
页数：11
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