A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations
A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxilliary equation from the Riccati equation which h...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/890784 |
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| _version_ | 1850208850226970624 |
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| author | Bülent Kiliç Hasan Bulut |
| author_facet | Bülent Kiliç Hasan Bulut |
| author_sort | Bülent Kiliç |
| collection | DOAJ |
| description | A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxilliary equation from the Riccati equation which has more new solutions. More new solitary solutions are obtained for the RLW Burgers and Hirota Satsuma coupled equations. |
| format | Article |
| id | doaj-art-919542eaa4f94d69acc1612f61a1ef19 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-919542eaa4f94d69acc1612f61a1ef192025-08-20T02:10:09ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/890784890784A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential EquationsBülent Kiliç0Hasan Bulut1Department of Mathematics, Firat University, 23119 Elazig, TurkeyDepartment of Mathematics, Firat University, 23119 Elazig, TurkeyA new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxilliary equation from the Riccati equation which has more new solutions. More new solitary solutions are obtained for the RLW Burgers and Hirota Satsuma coupled equations.http://dx.doi.org/10.1155/2013/890784 |
| spellingShingle | Bülent Kiliç Hasan Bulut A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations Advances in Mathematical Physics |
| title | A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations |
| title_full | A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations |
| title_fullStr | A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations |
| title_full_unstemmed | A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations |
| title_short | A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations |
| title_sort | new method with a different auxiliary equation to obtain solitary wave solutions for nonlinear partial differential equations |
| url | http://dx.doi.org/10.1155/2013/890784 |
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