广义RLW方程的行波解和冲击波解  

Traveling Wave Solutions and Shock Wave Solutions for the Generalized RLW Equation

作　　者：张丽香[1] 刘汉泽[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《滨州学院学报》2016年第6期40-44,共5页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(11171041)

摘　　要：运用行波变换、齐次平衡原理和G′/G展开方法研究了广义RLW方程,得到了精确行波解。另外,运用齐次平衡原理和试探函数法,获得了广义RLW方程的冲击波解。为广义RLW方程的求解提供了新方法,丰富了广义RLW方程的解。In this paper,the generalized RLW equations are obtained the exact traveling wave solutions by applying traveling wave transformation,the homogeneous balance principle and G′/G-expansion method.In addition,the shock wave solutions are obtained by using the trial function method and homogeneous balance principle.It supplies a new method for generalized RLW equations and enriches the equations.

关 键 词：齐次平衡原理 试探函数法 G′/G展开法 广义RLW方程 行波解 冲击波解 

分 类 号：O175.2[理学—数学]