Klein-Gordon-Schrdinger方程组的精确解  

Exact Solutions for Klein-Gordon-Schrdinger Equations

作　　者：李伟[1] 张金良[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2014年第6期84-87,10,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11171227);河南省科技攻关基金项目(132102310309)

摘　　要：利用(G'/G)-展开法求出了Klein-Gordon-Schrdinger方程组含参数的双曲函数形式孤波解及三角函数形式周期波解。文献中用齐次平衡原则与F展开法得到的孤波解与三角函数解是本文所得精确解的特殊情况。此外,结合刘氏定理又得出一种类型的孤波解——扭钟型孤波解。The solitary wave solutions expressed by hyperbolic functions and periodic wave solutions expressed by trigonometric functions for the Klein-Gordon-Schrdinger( KGS) equations are given by using( G' /G)-expansion method. The solutions that has been proved by homogeneous balance principle and F expansion method for the KGS equations in the literatures are the particular cases of results obtained in this paper.Moreover,the kink-bell-type solutions are also given by means of Liu's Theorem which is used to derive the kink-bell-type solutions from the bell-type solutions.

关 键 词：Klein-Gordon-Schrodinger方程组 (G'/G)-展开法 刘氏定理 孤波解 周期波解 扭钟型解 

分 类 号：O175.2[理学—数学]