应用数学2011，Vol.24Issue(4)：699-704,6.
应用(1/G)-展开法求解五阶KdV方程
Application of the (1/G) -expansion Method to the Generalized Fifth Order KdV Equation
摘要
Abstract
The (1/G) -expansion method is proposed to find travelling wave solutions of the generalized fifth order KdV equation(fKdV) which can become the Sawada-Kotera (SK) equation,Caudrey-Dodd-Gibbon(CDG) equation,Kaup-Kupershmidt(KK) equation,Lax equation and Ito equation if the coefficients of the fKdV are taken as the different values,respectively.As a result,exact travelling wave solutions expressed by hyperbolic functions and trigonometric functions with two arbitrary constants of the fKdV are obtained provided its coefficients satisfy a constraint condition,based on which the travelling wave solutions of mentioned several special forms of the fKdV can also be derived,as illustrative examples,the travelling wave solutions of the SK equation and Ito equation are given here.The proposed method is direct,concise and elementary,and it can be used for other nonlinear evolution equations in mathematical physics.关键词
(1/G)-展开法/行波解/五阶KdV方程/齐次平衡Key words
(1/G) -expansion method/Travelling wave solution/Fifth order KdV equation/Homogeneous balance分类
数理科学引用本文复制引用
李灵晓,李二强,王明亮..应用(1/G)-展开法求解五阶KdV方程[J].应用数学,2011,24(4):699-704,6.基金项目
Supported by the Natural Science Foundation of Education Department of Henan Province of China(2011B110013),the Youth Science Foundation of Henan University of Science and Technology (2008QN026) （2011B110013）
