Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method

被引：36

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 08期

关键词：

(G '/G)-expansion method; Nonlinear differential-difference equation; Discrete nonlinear Schrodinger equation; Toda lattice equation; Lattice equation; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; EVOLUTION-EQUATIONS; SYMBOLIC COMPUTATION; EXPLICIT SOLUTIONS; GENERALIZED EVOLUTION; MATHEMATICAL PHYSICS; 1-SOLITON SOLUTION; LOCALIZED MODES; LATTICE SYSTEM;

D O I：

10.1016/j.amc.2009.09.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extended the (G'/G)-expansion method to two well-known nonlinear differential-difference equations, the discrete nonlinear Schrodinger equation and the Toda lattice equation, for constructing traveling wave solutions. Discrete soliton and periodic wave solutions with more arbitrary parameters, as well as discrete rational wave solutions, are revealed. It seems that the utilized method can provide highly accurate discrete exact solutions to NDDEs arising in applied mathematical and physical sciences. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3140 / 3147

页数：8

共 59 条

[1] The extended F-expansion method and its application for a class of nonlinear evolution equations [J].

Abdou, M. A. .

CHAOS SOLITONS & FRACTALS, 2007, 31 (01) :95-104

[2]

Ablowitz M., 1991, Soliton, Nonlinear Evolution Equations and Inverse Scattering

[3] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (03) :598-603

[4] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (06) :1011-1018

[5]

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

[6] ENERGY LOCALIZATION IN NONLINEAR FIBER ARRAYS - COLLAPSE-EFFECT COMPRESSOR [J].

ACEVES, AB ;

LUTHER, GG ;

DEANGELIS, C ;

RUBENCHIK, AM ;

TURITSYN, SK .

PHYSICAL REVIEW LETTERS, 1995, 75 (01) :73-76

[7]

Adomian G., 1994, Solving Frontier Problems of Physics: the Decomposition Method

[8]

[Anonymous], 1965, COLLECTED PAPERS E F

[9]

[Anonymous], 1999, Nonlinear Waves in Elastic Crystals

[10] Generalized solitary and periodic wave solutions to a (2+1)-dimensional Zakharov-Kuznetsov equation [J].

Aslan, Ismail .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) :1421-1429

← 1 2 3 4 5 6 →