New Exact Solutions for New Model Nonlinear Partial Differential Equation
In this paper we propose a new form of Padé-II equation, namely, a combined Padé-II and modified Padé-II equation. The mapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined Padé-II and modified Padé-II equation. Exact travelling w...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/767380 |
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| author | A. Maher H. M. El-Hawary M. S. Al-Amry |
| author_facet | A. Maher H. M. El-Hawary M. S. Al-Amry |
| author_sort | A. Maher |
| collection | DOAJ |
| description | In this paper we propose a new form of Padé-II equation, namely, a combined Padé-II and modified Padé-II equation. The mapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined Padé-II and modified Padé-II equation. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, rational functions, and elliptic functions. |
| format | Article |
| id | doaj-art-503de6887bd240adb4ed6052899966fc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-503de6887bd240adb4ed6052899966fc2025-02-03T06:05:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/767380767380New Exact Solutions for New Model Nonlinear Partial Differential EquationA. Maher0H. M. El-Hawary1M. S. Al-Amry2Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Faculty of Science and Education, Aden University, Aden, YemenIn this paper we propose a new form of Padé-II equation, namely, a combined Padé-II and modified Padé-II equation. The mapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined Padé-II and modified Padé-II equation. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, rational functions, and elliptic functions.http://dx.doi.org/10.1155/2013/767380 |
| spellingShingle | A. Maher H. M. El-Hawary M. S. Al-Amry New Exact Solutions for New Model Nonlinear Partial Differential Equation Journal of Applied Mathematics |
| title | New Exact Solutions for New Model Nonlinear Partial Differential Equation |
| title_full | New Exact Solutions for New Model Nonlinear Partial Differential Equation |
| title_fullStr | New Exact Solutions for New Model Nonlinear Partial Differential Equation |
| title_full_unstemmed | New Exact Solutions for New Model Nonlinear Partial Differential Equation |
| title_short | New Exact Solutions for New Model Nonlinear Partial Differential Equation |
| title_sort | new exact solutions for new model nonlinear partial differential equation |
| url | http://dx.doi.org/10.1155/2013/767380 |
| work_keys_str_mv | AT amaher newexactsolutionsfornewmodelnonlinearpartialdifferentialequation AT hmelhawary newexactsolutionsfornewmodelnonlinearpartialdifferentialequation AT msalamry newexactsolutionsfornewmodelnonlinearpartialdifferentialequation |