New solitons and periodic solutions for nonlinear physical models in mathematical physics

被引：29

作者：

Bekir, Ahmet ^{[1
]}

Cevikel, Adem C. ^{[2
]}

机构：

[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math & Comp Sci, Eskisehir, Turkey

[2] Yildiz Tekn Univ, Art Sci Fac, Dept Math, Istanbul, Turkey

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

关键词：

Solitons; Sine-cosine method; Exp-function method; The generalized Zakharov equations; The (2+1)-dimensional; Davey-Stewartson equations; EXP-FUNCTION METHOD; F-EXPANSION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; TANH-FUNCTION METHOD; SINE-COSINE METHOD; TRAVELING-WAVE SOLUTIONS; ELLIPTIC FUNCTION-METHOD; EVOLUTION-EQUATIONS; MEW EQUATION; LATTICE;

D O I：

10.1016/j.nonrwa.2009.10.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish exact solutions for three nonlinear equations. The sine-cosine and the exp-function methods are used to construct periodic and soliton solutions of nonlinear physical models. Many new families of exact traveling wave solutions of the nonlinear wave equations are successfully obtained. These solutions may be of significance for the explanation of some practical physical problems. It is shown that the sine-cosine and the exp-function methods provide a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3275 / 3285

页数：11

共 33 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 J., 1990, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform

[3] New exact travelling wave solutions for some famous nonlinear partial differential equations using the improved tanh-function method [J].

Alabdullatif, M. ;

Abdusalam, H. A. .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2006, 83 (10) :741-751

[4] Exact solutions for nonlinear evolution equations using Exp-function method [J].

Bekir, Ahmet ;

Boz, Ahmet .

PHYSICS LETTERS A, 2008, 372 (10) :1619-1625

[5]

Bekir A, 2007, INT J NONLIN SCI NUM, V8, P505

[6] Jacobian elliptic function method for nonlinear differential-difference equations [J].

Dai, CQ ;

Zhang, JF .

CHAOS SOLITONS & FRACTALS, 2006, 27 (04) :1042-1047

[7] Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method [J].

Ebaid, A. .

PHYSICS LETTERS A, 2007, 365 (03) :213-219

[8] New solitons and periodic wave solutions for nonlinear evolution equations [J].

El-Wakil, SA ;

Abdou, MA ;

Elhanbaly, A .

PHYSICS LETTERS A, 2006, 353 (01) :40-47

[9] Modified extended tanh-function method for solving nonlinear partial differential equations [J].

Elwakil, SA ;

El-labany, SK ;

Zahran, MA ;

Sabry, R .

PHYSICS LETTERS A, 2002, 299 (2-3) :179-188

[10] Extended tanh-function method and its applications to nonlinear equations [J].

Fan, EG .

PHYSICS LETTERS A, 2000, 277 (4-5) :212-218

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