利用推广的(G′/G)-展开法求解Kononpelchenko-Dubrovsky方程

Solving Kononpelchenko-Dubrovsky Equation by Using Extended(G'/G)-expansion Method

利用推广的(G′/G)-展开法,借助于计算机代数系统Mathematica,获得了Kononpelchenko-Dubrovsky方程丰富的显式行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示。该方法也适用于其它非线性波方程(组)。

By using the extended(G'/G)-expansion method and with the aid of computer algebra system Mathematica,abundant exact travelling wave solutions of the Kononpelchenko-Dubrovsky equation are successfully obtained.The solutions are expressed by hyperbolic functions,trigonometric functions and rational functions contained double arbitrary parameters.The method can be also used to solve other nonlinear wave equation(s).