三维空间中Klein-Gordon-Zakharov方程的Jacobi椭圆函数周期解

Periodic Wave Solutions Expressed by Jacobi Elliptic Functions for the Klein-Gordon-Zakharov Equations in Three Dimensional Space

本文运用最近提出的F-展开法,应用数学计算软件Mathematica,得到三维空间中的Klein-Gordon-Zakharov方程由Jacobi椭圆函数表示的周期解,并且在极限情况下,可以推得其孤波解以及其它形式的新解。不难看出,此方法是简洁的,并可望进一步推广。

In this paper, by using the recently proposed F-expansion method and the software of Mathematica, the periodic wave solutions expressed by Jacobi elliptic functions to the Klein-Gordon-Zakharov in three dimensional space are derived, and in the limit case, the solitary wave solutions and other type solutions for Klein-Gordon-Zakharov equations are obtained. Our method is simple, fast and allowing for further extension.