F展开法在求解一类Klein-Gordon方程中的应用

摘要

提出了一种求数学物理问题中非线性发展方程周期波解的扩展F展开法,是近来提出的Jacobi椭圆函数展开法的概括.利用齐次平衡原则和扩展F展开法,求出了一类Klein-Gordon方程更丰富的用Jacobi椭圆函数表示的周期波解.%An extended F-expansion method is presented for finding periodic wave solutions of nonlinear evolution equations in mathematical physics, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed recently.By using the homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by Jacobi elliptic functions for a class of nonlinear Klein-Gordon equations are derived.