Exact Travelling Wave Solutions for a Combined KdV and Schwarzian KdV Equation

作     者：LI Ling-xiao LI Er-qiang 

作者机构：College of Mathematics and Statistics Henan University of Science and Technology Luoyang 471003China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2012年第27卷第3期

页      面：371-374页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Natural Science Foundation of Education Department of Henan Province(2011Bl10013) Supported by the Youth Science Foundation of Henan University of Science and Tech- nology(2008QN026) 

主　　题：the (G’/G)-expansion method travelling wave solutions homogeneous balance the combined KdV and Schwarzian KdV equation 

摘      要：In this paper the ( G /G )-expansion method is used to find exact travelling wave solutions for a combined KdV and Schwarzian KdV equation. As a result, multiple travelling wave solutions with arbitrary parameters are obtained, which are expressed by hyperbolic functions, trigonometric functions and rational functions. When the parameters are taken as special values, the solitary waves are derived from the travelling waves. The (G /G)-expansion method presents a wider applicability for handling nonlinear wave equations.