基于椭圆函数展开法求Klein-Gordon方程的行波解  

Traveling Wave Solutions of Klein-Gordon Equation Based on Elliptic Function Expansion Method

作　　者：韩冰冰[1] HAN Bingbing(Department of Basic Science,Panjin Vocational and Technical College,Panjin Liaoning 124000,China)

机构地区：[1]盘锦职业技术学院基础部,辽宁盘锦124000

出　　处：《保山学院学报》2021年第5期52-58,共7页JOURNAL OF BAOSHAN UNIVERSITY

基　　金：2020年盘锦职业技术学院校级课题“数学文化教育在培养高职学生数学素养的实践探索”(项目编号:PJZYKYKT202023)。

摘　　要：运用Jacobi椭圆函数展开法,求出非线性Klein-Gordon方程的行波解,得到了其一般解的参数表达式,并通过取特定的参数值得到了该方程的一些特殊的精确解,这些精确解包括三角函数解、双曲函数解及它们的混合解。In this paper,the Jacobi elliptic function expansion method is further extended to solve the traveling wave solution of the nonlinear Klein-Gordon equation,and the parameter representation of its general solution is obtained,and then some special exact solutions of the equation are obtained by taking special values of the parameters,including trigonometric function solutions,hyperbolic function solutions and their mixed solutions,so that some of the previous conclusions have been effectively promoted.

关 键 词：JACOBI椭圆函数展开法 KLEIN-GORDON方程 行波解 

分 类 号：O1[理学—数学]