Boussinesq方程的精确行波解

摘要

In this paper,we used the auxiliary function method to solve the Boussinesq equation,which describes the shallow potter,and we got a series of exact travelling wave solutions,including the Jacobi elliptic function solutions, Weierstrass elliptic function solution,solitary wave solutions and triangle function solutions,which not only contains the existed results,but also include some new solutions.%采用一种辅助函数法求解了描述浅水波特性的 Boussinesq 方程，得到了其多组精确行波解。包括 Jacobi椭圆函数解、Weierstrass椭圆函数解、孤波解及三角函数解，除包含以往结果，还包括一些新解。