Trial function method and exact solutions to the generalized nonlinear Schrdinger equation with time-dependent coefficient  

作　　者：曹瑞 张健 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University [2]Department of Mathematics,Heze University

出　　处：《Chinese Physics B》2013年第10期182-185,共4页中国物理B（英文版）

基　　金：Project supported in part by the National Natural Science Foundation of China(Grant No.11071177)

摘　　要：In this paper, the trial function method is extended to study the generalized nonlinear Schrodinger equation with time- dependent coefficients. On the basis of a generalized traveling wave transformation and a trial function, we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrodinger equation with time-dependent coefficients. Taking advantage of solutions to trial function, we successfully obtain exact solutions for the generalized nonlinear Schrodinger equation with time-dependent coefficients under constraint conditions.In this paper, the trial function method is extended to study the generalized nonlinear Schrodinger equation with time- dependent coefficients. On the basis of a generalized traveling wave transformation and a trial function, we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrodinger equation with time-dependent coefficients. Taking advantage of solutions to trial function, we successfully obtain exact solutions for the generalized nonlinear Schrodinger equation with time-dependent coefficients under constraint conditions.

关 键 词：generalized nonlinear SchriSdinger equation exact solution trial function method 

分 类 号：O241.82[理学—计算数学]