Lie symmetry reductions and exact solutions of a coupled KdV-Burgers equation

被引：26
|
作者：
Yang, Shaojie [1 ]
Hua, Cuncai [1 ]
机构：
[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷
关键词：
Lie group; Coupled KdV-Burgers equation; Solitary wave solutions; Similarity solutions;
D O I：
10.1016/j.amc.2014.01.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on classical Lie group method, with the help of Maple software, we study a coupled KdV-Burgers equation, and get its infinitesimal generator, commutation table of Lie algebra, symmetry group and similarity reductions. In particular, solitary wave solutions and similarity solutions of the coupled KdV-Burgers equation are derived from the reduction equations. (C) 2014 The Authors. Published by Elsevier Inc.
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页码：579 / 583
页数：5
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