双函数展开法及mKdV方程的行波解

Double Function Expansion Method and Travelling Wave Solutions of mKdV Equation

提出了双函数展开法,用此方法求解mKdV方程,得到了该方程的用双曲函数、三角函数和有理函数表示的行波解。这一方法利用了二阶线性常微分方程的相关结论,显得直接,简洁,基本和有效,可适用于一大类非线性发展方程。

The double function expansion method was proposed,by which the travelling wave solutions involving parameters of the mKdV equation were obtained. The travelling wave solutions were expressed by the hyperbolic functions,the trigonometric functions and the rational functions. The proposed method takes advantage of relative conclusions of second order linear ordinary differential equation(LODE for short) . The method is direct,concise,elementary and effective,and can be used for many other nonlinear evolution equations.