On the solution of the nonlinear Schrodinger equation

被引：9
|
作者：
Zayed, EME
Zedan, HA [1 ]
机构：
[1] Fac Educ, Dept Math, Kater El Sheikh, Egypt
[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2003年 / 16卷 / 01期
关键词：
D O I：
10.1016/S0960-0779(02)00308-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the nonlinear Schrodinger equation with respect to the unknown function S(x, t). New dimensional reduction and exact solution for a nonlinear Schrodinger equation are presented and a complete group classification is given with respect to the function S(x, t). Moreover, specializing the potential function S(x, t), new classes of invariant solution and group classification are obtained in the cases of physical interest. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：133 / 145
页数：13
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