Exact solutions to nonlinear Schrodinger equation with variable coefficients

被引：49
|
作者：
Liu, Yang [1 ]
机构：
[1] NE Petr Univ, Coll Petr Engn, Daqing 163318, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期
关键词：
Trial equation method; Envelop traveling wave solutions; Schrodinger equation with variable coefficients; PARTIAL-DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; KORTEWEG-DEVRIES;
D O I：
10.1016/j.amc.2010.12.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
According to Ma-Fuchsseiter's idea, a trial equation method was proposed to find the exact envelop traveling wave solutions to some nonlinear differential equations with variable coefficients. As an application, combining with the complete discrimination system for polynomial, some exact envelop traveling wave solutions to Schrodinger equation with variable coefficients were obtained. At the same time, the physical meanings of the obtained solutions are discussed, and the problem needed to further study is pointed out. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：5866 / 5869
页数：4
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