RLW-Burgers方程的对称分类及其精确行波解

Symmetric Classification of the RLW-Burgers Equation and Its Exact Travelling Wave Solutions

本文基于吴-微分特征列集算法确定了RLW-Burgers方程的对称分类并对其进行了约化.在约化后的几种情况中我们选取了一个方程,利用推广的Tanh函数法进行求解,并得到了丰富的精确行波解,这些解分别以含任意参数的双曲函数、三角函数及有理函数等三种形式表示,其中双曲函数表示的行波解中参数取特殊值时可得到孤波解.

In this paper, the symmetric classification of the RLW-Burgers equation was deter- mined based on the Wu-differential characteristic set algorithm and subsequently reduced. By means of the extended Tanh function method, the exact traveling wave solutions of the equation chosen from several reduced cases were arrived at. These solutions were expressed by the hyperbolic functions, the trigonometric functions and the rational functions, respectively. Solitary wave solutions were derived when special values were taken for the parameters of the hyperbolic function solutions.