A numerical solution and an exact explicit solution of the NLS equation

被引：24
|
作者：
El-Sayed, SM
Kaya, D
机构：
[1] Benha Univ, Dept Math, Banha 13518, Egypt
[2] Firat Univ, Dept Math, Elazig 23119, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 172卷 / 02期
关键词：
the decomposition method; nonlinear Schrodinger equation; traveling wave solutions; numerical results;
D O I：
10.1016/j.amc.2005.02.055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider traveling wave solutions of the nonlinear Schrodinger (NLS for short) equation. In this paper by considering the decomposition scheme, we first obtain the exact solutions of the NLS equation for the initial condition without using any classical transformations and then its numerical solutions are constructed without using any discretization technique. The numerical solutions are compared with the known analytical solutions. Its remarkable accuracy is finally demonstrated in the study of some initial values of the NLS equation. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：1315 / 1322
页数：8
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