(2+1)维Boussinesq方程的混合型指数函数解和三角函数周期解

Solutions of mixed exp-function and periodic solutions of triangle function to (2+1)-Dimensional Boussinesq Equation

本文利用指数函数展开法,研究了(2+1)-维Boussinesq方程,在一个特定的变换下,借助于数学软件的符号运算功能,获得了(2+1)-维Boussinesq方程的混合型指数函数解和三角函数周期解.当参数变化时,一些混合型指数函数解包含了奇异的和非奇异的孤子解.

In this paper, by using exp-function method, the （2＋1）-dimensional Boussinesq equation is studied. Under a special transformation, by using Mple, many new solutions of mixed exp-function and periodic solutions of triangle function are obtained. Some solutions of mixed exp-function include singular and non-singular soliton solution when the parameters vary.