摘要
提出一种求解非线性Klein_Gordon方程的新方法,即利用齐次平衡原则及F_展开法思想求出其丰富的精确解,包括椭圆函数、双曲函数和三角函数表示的精确解,其中有部分解是新的.该方法为求解类似的方程提供了借鉴.
A new method of solving nonlinear Klein-Gordon equation is presented. By using the homogeneous balance principle(HBP)and the F-expansion method proposed recently,some exact solutions expressed by elliptic function,hyperbolic function and trigonometric function for Klein-Gordon equation are obtained,including some new exact solutions. The method can be used for solving more nonlinear partial differential equations.
出处
《焦作工学院学报》
2004年第1期73-76,共4页
Journal of Jiaozuo Institute of Technology(Natural Science)
基金
河南省自然科学基金项目(0111050200)
河南科技大学基金项目(20020032).