截断的函数积分法与Variant Boussinesq方程组的解

A New Function Integration Method and the New Exact Solutions of Variant Boussinesq Equation

提出了一种求解非线性波动方程的简便方法,其基本思想为假定方程的解满足某种条件,通过积分求出新的变换形式,将方程转化为一组容易求解的代数方程.同时,将该方法应用于Variant Boussinesq方程组,得到了该方程组的3类精确解.

A new function integration method is proposed to construct the exact solutions of nonlinear equation easily. In this method, the form solution is assumed as the truncated expansion form, which is fitted with certain conditions. Then, by integration,the nonlinear equation can be transfered to a set of ordinary algebraic equations of undetermined functions, which are easily solved. With this method we can obtain three classes new exact solutions of Variant Boussinesq equations.