（2＋1）维Broer-Kaup方程的新分离变量解

运用一种改进的多线性分离变量法,将(2 1)维Broer-Kaup方程约化为含有关于x,t和y,t的任意函数的一个线性演化方程,并通过进一步改进这种方法,寻找形如f=p(x,y,t) q(y,t)形式的解,从而得到了原方程的一些包含分离变量形式的新解。

New Variable Separation Solutions to the (2 + 1 )-dimensional Broer-Kaup Equation

By using a improved multi-linear variable separation approach, the (2 1)-dimensional Broer-Kaup equations are reduced to a linear evolutional equation with two arbitrary functions of x,tand y,t. And through further improving the method to look for the solutions in the form f=p(x,y,t) q(y,t), some new solutions of the original equations which include the variable separation solutions are obtained.