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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/350287 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560236826722304 |
|---|---|
| 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 |