A discrete Adomian decomposition method for discrete nonlinear Schrodinger equations

被引：26

作者：

Bratsos, Athanassios ^{[2
]}

Ehrhardt, Matthias ^{[1
]}

Famelis, Ioannis Th. ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Inst Educ Technol, Dept Math, GR-12210 Athens, Greece

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 197卷 / 01期

关键词：

Adomian decomposition method; discrete nonlinear schrodinger equations; finite difference schemes; solitons; plane waves; mathematica;

D O I：

10.1016/j.amc.2007.07.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new discrete Adomian decomposition method to approximate the theoretical solution of discrete nonlinear Schrodinger equations. The method is examined for plane waves and for single soliton waves in case of continuous, semi-discrete and fully discrete Schrodinger equations. Several illustrative examples and Mathematica program codes are presented. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：190 / 205

页数：16

共 41 条

[1]

ABLOWITZ MJ, 1976, STUD APPL MATH, V55, P213

[2]

ABLOWITZ MJ, 1992, NONLINEAR EVOLUTION

[3]

ABLOWITZ MJ, 2004, DISCRETE CONTINUOUS

[4] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544

[5]

Adomian G., 1994, SOLVING FRONTIER PRO

[6] AN ENGINEERS GUIDE TO SOLITON PHENOMENA - APPLICATION OF THE FINITE-ELEMENT METHOD [J].

ARGYRIS, J ;

HAASE, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 61 (01) :71-122

[7]

Bogolyubov N. N. Jr., 1982, Soviet Physics - Doklady, V27, P113

[8]

Bratsos, 2000, COMMUN APPL ANAL, V4, P133

[9]

Bratsos A.G., 2001, KOREAN J COMPUT APPL, V8, P459

[10]

Calogero F., 1991, WHY ARE CERTAIN NONL, P1

← 1 2 3 4 5 →