The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation
The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of tri...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/8751097 |
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| author | M. Torvattanabun J. Simmapim D. Saennuad T. Somaumchan |
| author_facet | M. Torvattanabun J. Simmapim D. Saennuad T. Somaumchan |
| author_sort | M. Torvattanabun |
| collection | DOAJ |
| description | The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions, and rational functions solutions. The numerical results were obtained with the aid of Maple. |
| format | Article |
| id | doaj-art-72d4c35395dd437ca6f2775f2f949f82 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-72d4c35395dd437ca6f2775f2f949f822025-02-03T06:44:39ZengWileyJournal of Mathematics2314-46292314-47852017-01-01201710.1155/2017/87510978751097The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave EquationM. Torvattanabun0J. Simmapim1D. Saennuad2T. Somaumchan3Department of Mathematics, Faculty of Science and Technology, Loei Rajabhat University, Loei 42000, ThailandDepartment of Mathematics, Faculty of Science and Technology, Loei Rajabhat University, Loei 42000, ThailandDepartment of Mathematics, Faculty of Science and Technology, Loei Rajabhat University, Loei 42000, ThailandDepartment of Mathematics, Faculty of Science and Technology, Loei Rajabhat University, Loei 42000, ThailandThe improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions, and rational functions solutions. The numerical results were obtained with the aid of Maple.http://dx.doi.org/10.1155/2017/8751097 |
| spellingShingle | M. Torvattanabun J. Simmapim D. Saennuad T. Somaumchan The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation Journal of Mathematics |
| title | The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation |
| title_full | The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation |
| title_fullStr | The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation |
| title_full_unstemmed | The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation |
| title_short | The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation |
| title_sort | improved generalized tanh coth method applied to sixth order solitary wave equation |
| url | http://dx.doi.org/10.1155/2017/8751097 |
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