推广的变系数Caudrey-Dodd-Gibbon方程的精确解

Exact Solutions of the Generalized Caudrey-Dodd-Gibbon Equation with Variable Coefficients

基于Bell多项式法,得到推广的变系数Caudrey-Dodd-Gibbon(CDG)方程的双线性形式。首先,利用摄动方法获得该方程的多孤子解;其次,应用试探函数法并借助数学计算软件Mathematica,得到该方程的双曲函数、三角函数与指数函数的复合型解、Lump解和双曲函数解间的相互作用解;最后,利用已求得的精确解图形说明其性质。

The generalized bilinear form of Caudrey-Dodd-Gibbon(CDG)equation with variable coefficients is obtained based on Bell polynomial method.Firstly,the multi-soliton solutions of the equation are solved through perturbation method.The hyperbolic function,trigonometric and exponential compound solutions,Lump and hyperbolic function interaction solutions are get by using the trial function method and the mathematical software Mathematica.Finally,some graphs of the obtained exact solutions are used to illustrate the properties of it.