The Korteweg-de Vries-Burgers equation and its approximate solution

被引：11
|
作者：
Wang, Xiaohui [1 ]
Feng, Zhaosheng [1 ]
Debnath, Lokenath [1 ]
Gao, David Y. [2 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Virginia Tech Univ, Dept Math, Blacksburg, VA 24061 USA
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2008年 / 85卷 / 06期
关键词：
travelling wave; Korteweg-de Vries-Burgers equation; approximate solution; decomposition method; shock-profile wave;
D O I：
10.1080/00207160701411152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Korteweg-de Vries-Burgers equation with boundary conditions. After making a series of transformations, we convert the Korteweg-de Vries-Burgers equation into an Emden-Fowler equation. An approximate solution in series form is obtained by means of the Adomian decomposition method. The solution is illustrated to agree well with phase plane analysis.
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页码：853 / 863
页数：11
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