New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method

New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method

Firstly, using a series of transformations, the Brusselator reaction diffusion model is reduced into a nonlinear reaction diffusion equation, and then through using Exp-function method, more new exact solutions are found which contain soliton solutions. The suggested algorithm is quite efficient and...

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Main Authors: F. Khani, F. Samadi, S. Hamedi-Nezhad
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2009/346461
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spelling doaj-8ef7a2536a354614be3e3ba3561228ff2020-11-24T23:07:36ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472009-01-01200910.1155/2009/346461346461New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function MethodF. Khani0F. Samadi1S. Hamedi-Nezhad2Department of Mathematics, Bakhtar Institute of Higher Education, P.O. Box 696, Ilam, IranDepartment of Mathematics, Payam Noor University, Kermanshah, IranDepartment of Mathematics, Bakhtar Institute of Higher Education, P.O. Box 696, Ilam, IranFirstly, using a series of transformations, the Brusselator reaction diffusion model is reduced into a nonlinear reaction diffusion equation, and then through using Exp-function method, more new exact solutions are found which contain soliton solutions. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method.http://dx.doi.org/10.1155/2009/346461
collection DOAJ
language English
format Article
sources DOAJ
author F. Khani
F. Samadi
S. Hamedi-Nezhad
spellingShingle F. Khani
F. Samadi
S. Hamedi-Nezhad
New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
Mathematical Problems in Engineering
author_facet F. Khani
F. Samadi
S. Hamedi-Nezhad
author_sort F. Khani
title New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
title_short New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
title_full New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
title_fullStr New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
title_full_unstemmed New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method
title_sort new exact solutions of the brusselator reaction diffusion model using the exp-function method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2009-01-01
description Firstly, using a series of transformations, the Brusselator reaction diffusion model is reduced into a nonlinear reaction diffusion equation, and then through using Exp-function method, more new exact solutions are found which contain soliton solutions. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method.
url http://dx.doi.org/10.1155/2009/346461
work_keys_str_mv AT fkhani newexactsolutionsofthebrusselatorreactiondiffusionmodelusingtheexpfunctionmethod
AT fsamadi newexactsolutionsofthebrusselatorreactiondiffusionmodelusingtheexpfunctionmethod
AT shamedinezhad newexactsolutionsofthebrusselatorreactiondiffusionmodelusingtheexpfunctionmethod
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