A modified tanh-coth method for solving the KdV and the KdV-Burgers' equations

被引：55
作者：
Wazzan, Luwai [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 02期
关键词：
KdV equation; KdV-Burgers' equation; The extended tanh method; The tanh-coth method; Riccati equation; Travelling wave solutions; SOLITARY WAVE SOLUTIONS; DE-VRIES EQUATION; TRANSFORMATION;
D O I：
10.1016/j.cnsns.2007.06.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we use a modified tanh-coth method to solve the Korteweg-de Vries and Korteweg-de Vries-Burgers' equations. The main idea is to take full advantage of the Riccati equation that the tanh-function satisfies. New multiple travelling wave solutions are obtained for the Korteweg-de Vries and Korteweg-de Vries-Burgers' equations. (c) 2007 Elsevier B.V. All rights reserved.
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页码：443 / 450
页数：8
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