(3+1)维孤子方程的周期孤波解

Periodic-soliton wave solutions for(3+1)-dimensional soliton equation

扩展了Hirota法,即将Hirota法中的测试函数用新的测试函数来替代,并利用扩展了的方法来构造(3+1)维孤子方程的新的周期孤波解、周期双孤波解、双周期双孤波解.显然扩展的Hirota方法也可以解其他一些非线性发展方程.

Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations.To be more precise,new text function is used instead of text function in Hirota method.By using the extended Hirota method,（3＋1）-dimensional soliton equation is solved an abundance of exact periodic-soliton wave solutions,periodic double soliton wave solutions,double periodic double soliton wave solutions.Obviously,the extended Hirota method can be applied to solve some other nonlinear evolution equations as well.