广义(2+1)维浅水波方程的精确解

Exact Solutions for a Class of Generalized (2+1)-Dimensional Shallow Water Equation

通过行波解法将广义(2+1)维浅水波方程转化为常微分方程,然后借助辅助方程得到大量新的精确解,其中包括椭圆函数解、双曲函数解、三角函数解等.

By applying traveling wave method , general ized （2 ＋ l）-dimensional shal low water equa-ions is converted into ordinary differential equations, and then with the aid of auxiliary equation to get a arge number of new exact solutions,which included elliptical function solution, hyperbolic function so-utions, triangle function solutions and so on.