Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods

This paper obtains the exact solutions of the ϕ4 equation. The Lie symmetry approach along with the simplest equation method and the Exp-function method are used to obtain these solutions. As a simplest equation we have used the equation of Riccati in the simplest equation method. Exact solutions ob...

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Main Authors: Hossein Jafari, Nematollah Kadkhoda, Chaudry Masood Khalique
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/350287
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author Hossein Jafari
Nematollah Kadkhoda
Chaudry Masood Khalique
author_facet Hossein Jafari
Nematollah Kadkhoda
Chaudry Masood Khalique
author_sort Hossein Jafari
collection DOAJ
description This paper obtains the exact solutions of the ϕ4 equation. The Lie symmetry approach along with the simplest equation method and the Exp-function method are used to obtain these solutions. As a simplest equation we have used the equation of Riccati in the simplest equation method. Exact solutions obtained are travelling wave solutions.
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institution Kabale University
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language English
publishDate 2012-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-3b85fc50e42148e091b00da3371df75f2025-02-03T01:28:00ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/350287350287Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function MethodsHossein Jafari0Nematollah Kadkhoda1Chaudry Masood Khalique2Department of Mathematics Science, University of Mazandaran, P.O. Box 47416-95447, Babolsar, IranDepartment of Mathematics Science, University of Mazandaran, P.O. Box 47416-95447, Babolsar, IranInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaThis paper obtains the exact solutions of the ϕ4 equation. The Lie symmetry approach along with the simplest equation method and the Exp-function method are used to obtain these solutions. As a simplest equation we have used the equation of Riccati in the simplest equation method. Exact solutions obtained are travelling wave solutions.http://dx.doi.org/10.1155/2012/350287
spellingShingle Hossein Jafari
Nematollah Kadkhoda
Chaudry Masood Khalique
Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods
Abstract and Applied Analysis
title Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods
title_full Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods
title_fullStr Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods
title_full_unstemmed Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods
title_short Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods
title_sort exact solutions of ϕ4 equation using lie symmetry approach along with the simplest equation and exp function methods
url http://dx.doi.org/10.1155/2012/350287
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AT nematollahkadkhoda exactsolutionsofph4equationusingliesymmetryapproachalongwiththesimplestequationandexpfunctionmethods
AT chaudrymasoodkhalique exactsolutionsofph4equationusingliesymmetryapproachalongwiththesimplestequationandexpfunctionmethods