Multi-soliton solution, rational solution of the Boussinesq-Burgers equations

被引：19
|
作者：
Rady, A. S. Abdel [1 ]
Osman, E. S. [1 ]
Khalfallah, Mohammed [1 ]
机构：
[1] S Valley Univ, Fac Sci, Dept Math, Qeno, Egypt
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 05期
关键词：
Backlund transformation; Boussinesq-Burgers equations; Homogeneous balance method; Soliton solutions; Generalized tan h method; Riccati equation; TRAVELING-WAVE SOLUTIONS; TRANSFORMATION; VARIANT; SYSTEM;
D O I：
10.1016/j.cnsns.2009.05.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the Boussinesq-Burgers equations and establish the transformation which turns the Boussinesq-Burgers equations into the single nonlinear partial differential equation, then we obtain an auto-Backlund transformation and abundant new exact solutions, including the multi-solitary wave solution and the rational series solutions. Besides the new trigonometric function periodic solutions are obtained by using the generalized tan h method. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1172 / 1176
页数：5
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