Zakharov方程组的新精确解

A new exact solutions to Zakharov equation

利用一种基于符号计算的代数方法,结合Maple环境中的Epsilon软件包,求解Zakharov方程组,获得了若干其它方法不曾给出的形式更为丰富的新的显式行波解,其中包括孤波解、三角函数解、双曲函数解.本文用F-展开法求得Zakharov方程组的新三角函数解和双曲函数解.

The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for Zakharov equations by means of Epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain solitons, hyperbola function solutions and triangular periodic solutions. This article gets the hyperbola function solutions and triangular periodic solutions of Zakharov equations by using F-expansion method.