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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-3b85fc50e42148e091b00da3371df75f |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT hosseinjafari exactsolutionsofph4equationusingliesymmetryapproachalongwiththesimplestequationandexpfunctionmethods AT nematollahkadkhoda exactsolutionsofph4equationusingliesymmetryapproachalongwiththesimplestequationandexpfunctionmethods AT chaudrymasoodkhalique exactsolutionsofph4equationusingliesymmetryapproachalongwiththesimplestequationandexpfunctionmethods |