耦合Klein-Gordon-Schrdinger方程的新精确解  

New exact solutions for Klein-Gordon-Schrdinger equations

作　　者：傅海明[1] 戴正德[1] 

机构地区：[1]云南大学数学与统计学院,云南昆明650091

出　　处：《西北师范大学学报（自然科学版）》2009年第6期32-34,42,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10361007;10661002);云南省自然科学基金资助项目(2006A0082M)

摘　　要：用F-展开法,结合Maple环境中的Epsilon软件包,求解耦合Klein-Gordon-Schrdinger方程,获得了若干其它方法不曾给出的形式更为丰富的新的显式行波解,其中包括Jacobi函数解、三角函数解和双曲函数解.This article gets the Jacobi ellipse function solutions,hyperbola function solutions and triangular periodic solutions of Klein-Gordon-Schrodinger equations by used F-expansion method.The algebraic method,based on the symbolic computation,has been applied to study new traveling wave solutions for Klein-Gordon-Schrodinger Equations by means of Epsilon package in Maple.More new explicit travelling wave solutions are obtained,which contain Jacobi function solutions,hyperbola function solutions and triangular periodic solutions.

关 键 词：耦合Klein-Gordon-Schrdinger方程 F-展开法 三角函数解 双曲函数解 

分 类 号：O175.29[理学—数学]