Travelling Wave Solutions of the Schrödinger-Boussinesq System

Travelling Wave Solutions of the Schrödinger-Boussinesq System

We establish exact solutions for the Schrödinger-Boussinesq System iut+uxx−auv=0, vtt−vxx+vxxxx−b(|u|2)xx=0, where a and b are real constants. The (G′/G)-expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)-exp...

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Main Authors: Adem Kılıcman, Reza Abazari
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/198398
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spelling doaj-7c38b38259924ce3ac8538748b75c94f2020-11-24T22:47:30ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/198398198398Travelling Wave Solutions of the Schrödinger-Boussinesq SystemAdem Kılıcman0Reza Abazari1Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaYoung Researchers Club, Ardabil Branch, Islamic Azad University, P.O. Box. 5616954184, Ardabil, IranWe establish exact solutions for the Schrödinger-Boussinesq System iut+uxx−auv=0, vtt−vxx+vxxxx−b(|u|2)xx=0, where a and b are real constants. The (G′/G)-expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. As a result, hyperbolic function solutions and trigonometric function solutions with parameters are obtained. These solutions may be important and of significance for the explanation of some practical physical problems.http://dx.doi.org/10.1155/2012/198398
collection DOAJ
language English
format Article
sources DOAJ
author Adem Kılıcman
Reza Abazari
spellingShingle Adem Kılıcman
Reza Abazari
Travelling Wave Solutions of the Schrödinger-Boussinesq System
Abstract and Applied Analysis
author_facet Adem Kılıcman
Reza Abazari
author_sort Adem Kılıcman
title Travelling Wave Solutions of the Schrödinger-Boussinesq System
title_short Travelling Wave Solutions of the Schrödinger-Boussinesq System
title_full Travelling Wave Solutions of the Schrödinger-Boussinesq System
title_fullStr Travelling Wave Solutions of the Schrödinger-Boussinesq System
title_full_unstemmed Travelling Wave Solutions of the Schrödinger-Boussinesq System
title_sort travelling wave solutions of the schrödinger-boussinesq system
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We establish exact solutions for the Schrödinger-Boussinesq System iut+uxx−auv=0, vtt−vxx+vxxxx−b(|u|2)xx=0, where a and b are real constants. The (G′/G)-expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. As a result, hyperbolic function solutions and trigonometric function solutions with parameters are obtained. These solutions may be important and of significance for the explanation of some practical physical problems.
url http://dx.doi.org/10.1155/2012/198398
work_keys_str_mv AT ademkılıcman travellingwavesolutionsoftheschrodingerboussinesqsystem
AT rezaabazari travellingwavesolutionsoftheschrodingerboussinesqsystem
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