变系数非线性Schrdinger方程的精确行波解  

Exact Travelling Wave Solutions to a Class of Nonlinear Schrdinger Equation with Variable Coefficients

作　　者：曹瑞[1,2] 

机构地区：[1]菏泽学院数学系,山东菏泽274015 [2]四川师范大学数学与软件科学学院,四川成都610068

出　　处：《贵州大学学报（自然科学版）》2013年第4期1-3,共3页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金资助项目(11071177);菏泽学院科学基金资助项目(XYJJKJ-3)

摘　　要：利用齐次平衡原理和推广的G'/G展开方法,研究一类具有重要物理背景的变系数非线性Schrdinger方程。先通过一个行波变换,将变系数非线性Schrdinger方程化为非线性常微分方程;再借助辅助常微分方程的解,获得变系数非线性Schrdinger方程含有多个任意参数的精确行波解,并且当参数取特殊值时,得到了孤波解。Nonlinear Schrodinger equation with variable coefficients, which have important physical background, was studied by using homogeneous balance principle and the extended G ＇/G - expansion method. Through a travelling wave transformation, nonlinear Schrodinger equation with variable coefficients was reduced to nonlinear ordinary differential equations. Then with the help of the solution of auxiliary ordinary differential equation, many exact travelling wave solutions involving arbitrary parameters were obtained successfully, and when the parame- ters are taken as special values, solitary wave solutions were derived.

关 键 词：推广的G'/G展开方法 非线性Schrdinger方程 行波解 齐次平衡原理 

分 类 号：O175.29[理学—数学]