推广的简单方程方法对两个非线性发展方程的应用

Applications of the Extended Simplest Equation Method to two nonlinear evolution equations

本文借助于计算机代数系统Mathematica,利用推广的简单方程方法成功获得了Joseph-Egri方程和(2+1)-维KP方程新的精确行波解,并且分别以含两个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。

We successfully construct the new exact traveling wave solutions of the Joseph -Egri equation and the （2＋1）-dimensional KP equation by using the extended simplest equation method . The exact traveling wave solutions with double arbitrary parameters ,are expressed by the hyperbolic functions ,the trigonometric functions and the rational functions respectively .When the parameters are taken as special values ,some solitary wave solutions are derived from the hyperbolic function solutions .