New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations
We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential equations. Based on the generalized hyperbolic func...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/201276 |
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| author | Yusuf Pandir Halime Ulusoy |
| author_facet | Yusuf Pandir Halime Ulusoy |
| author_sort | Yusuf Pandir |
| collection | DOAJ |
| description | We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential equations. Based on the generalized hyperbolic function transformation of the generalized KdV equation and the coupled equal width wave equations (CEWE), we find new exact solutions of two equations and analyze the properties of them by taking different parameter values of the generalized hyperbolic functions. We think that these solutions are very important to explain some physical phenomena. |
| format | Article |
| id | doaj-art-18b2972b001040a68d424be3315d3be0 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-18b2972b001040a68d424be3315d3be02025-08-20T02:02:12ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/201276201276New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential EquationsYusuf Pandir0Halime Ulusoy1Department of Mathematics, Faculty of Science, Bozok University, 66100 Yozgat, TurkeyDepartment of Mathematics, Faculty of Science, Bozok University, 66100 Yozgat, TurkeyWe firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential equations. Based on the generalized hyperbolic function transformation of the generalized KdV equation and the coupled equal width wave equations (CEWE), we find new exact solutions of two equations and analyze the properties of them by taking different parameter values of the generalized hyperbolic functions. We think that these solutions are very important to explain some physical phenomena.http://dx.doi.org/10.1155/2013/201276 |
| spellingShingle | Yusuf Pandir Halime Ulusoy New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations Journal of Mathematics |
| title | New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations |
| title_full | New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations |
| title_fullStr | New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations |
| title_full_unstemmed | New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations |
| title_short | New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations |
| title_sort | new generalized hyperbolic functions to find new exact solutions of the nonlinear partial differential equations |
| url | http://dx.doi.org/10.1155/2013/201276 |
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