Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations
We study two nonlinear partial differential equations, namely, the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. The Lie symmetry approach along with the simplest equation and exp-function methods are used to obtain solutions of the symmetric regularized long wave...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/679016 |
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| _version_ | 1849304912798679040 |
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| author | Isaiah Elvis Mhlanga Chaudry Masood Khalique |
| author_facet | Isaiah Elvis Mhlanga Chaudry Masood Khalique |
| author_sort | Isaiah Elvis Mhlanga |
| collection | DOAJ |
| description | We study two nonlinear partial differential equations, namely, the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. The Lie symmetry approach along with the simplest equation and exp-function methods are used to obtain solutions of the symmetric regularized long wave equation, while the travelling wave hypothesis approach along with the simplest equation method is utilized to obtain new exact solutions of the Klein-Gordon-Zakharov equations. |
| format | Article |
| id | doaj-art-39df32cfbb214e74a349e69a2cdff613 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-39df32cfbb214e74a349e69a2cdff6132025-08-20T03:55:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/679016679016Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov EquationsIsaiah Elvis Mhlanga0Chaudry Masood Khalique1International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaWe study two nonlinear partial differential equations, namely, the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. The Lie symmetry approach along with the simplest equation and exp-function methods are used to obtain solutions of the symmetric regularized long wave equation, while the travelling wave hypothesis approach along with the simplest equation method is utilized to obtain new exact solutions of the Klein-Gordon-Zakharov equations.http://dx.doi.org/10.1155/2014/679016 |
| spellingShingle | Isaiah Elvis Mhlanga Chaudry Masood Khalique Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations Abstract and Applied Analysis |
| title | Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations |
| title_full | Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations |
| title_fullStr | Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations |
| title_full_unstemmed | Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations |
| title_short | Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations |
| title_sort | exact solutions of the symmetric regularized long wave equation and the klein gordon zakharov equations |
| url | http://dx.doi.org/10.1155/2014/679016 |
| work_keys_str_mv | AT isaiahelvismhlanga exactsolutionsofthesymmetricregularizedlongwaveequationandthekleingordonzakharovequations AT chaudrymasoodkhalique exactsolutionsofthesymmetricregularizedlongwaveequationandthekleingordonzakharovequations |