(3+1)维Boussinesq方程的新精确解

New exact solution for (3+1) dimensional Boussinesq equation

为了获得(3+1)维Boussinesq方程新的精确解,采用齐次平衡方法,通过使用数学计算软件Maple给出了Riccati辅助方程的不同形式的新解,从而解得了(3+1)维Boussinesq方程的一些类周期波解和类孤立波解.这些新的精确解丰富了Boussinesq方程解的理论.

For obtaining more exact solutions for（3＋1） dimension Boussinesq equation,we use homogeneous balance method and new solutions of Riccati equation to obtain some soliton-like solutions and periodic-like solutions for（3＋1） dimension Boussinesq equation with Maple,which enrich the theory of Boussinesq equation solution.