耦合非线性Klein-Gordon方程组的周期解

The Periodic Wave Solutions for the Coupled Nonlinear Klein-Gordon Equations

利用修正的Jacob i椭圆函数展开方法,获得了一类耦合非线性K le in-Gordon方程新的周期解.在极限条件下,这些解退化成孤波解.借助于M athem atica软件,此方法能部分地在计算机上实现.这种方法也可以用来求解其它的非线性方程.

Using the modified Jacobi ellipitic function expansion method, the periodic wave solutions for the coupled nonlinear Klein-Gordon equation are obtained. In the limit cases, the solitary wave solutions are obtained as well. With the aid of the software, Mathematica,the method can be partly realized on computer. This method can also be applied to other nonlinear equations.