Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation
In this article, We apply the homogeneous balance method to construct the many families of exact solution of travelling wave solution of nonlinear equations, the Benny -Luke equation and vakhnenko-parkes equation. As the result, many solitary wave solution are obtained from the solution by hyperboli...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Salahaddin University-Erbil
2019-10-01
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| Series: | Zanco Journal of Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://zancojournals.su.edu.krd/index.php/JPAS/article/view/3241 |
| _version_ | 1818351293119332352 |
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| author | Israa A. Ibrahim Wafaa M. Taha M. S. M. Noorani |
| author_facet | Israa A. Ibrahim Wafaa M. Taha M. S. M. Noorani |
| author_sort | Israa A. Ibrahim |
| collection | DOAJ |
| description | In this article, We apply the homogeneous balance method to construct the many families of exact solution of travelling wave solution of nonlinear equations, the Benny -Luke equation and vakhnenko-parkes equation. As the result, many solitary wave solution are obtained from the solution by hyperbolic function when the parameters were taken at special values and we compared the result with the solution of F-expansion method and -expansion method, we obtained the same results by certain hypotheses. Also we drew a 3D graph of exact solution for the special Benny -luke equation and vakhnenko-parkes equation by help of the maple. |
| first_indexed | 2024-12-13T18:35:26Z |
| format | Article |
| id | doaj.art-9cfe7d2ef4854de4afa1da234f5c9388 |
| institution | Directory Open Access Journal |
| issn | 2218-0230 2412-3986 |
| language | English |
| last_indexed | 2024-12-13T18:35:26Z |
| publishDate | 2019-10-01 |
| publisher | Salahaddin University-Erbil |
| record_format | Article |
| series | Zanco Journal of Pure and Applied Sciences |
| spelling | doaj.art-9cfe7d2ef4854de4afa1da234f5c93882022-12-21T23:35:22ZengSalahaddin University-ErbilZanco Journal of Pure and Applied Sciences2218-02302412-39862019-10-0131s4525610.21271/zjpas.31.s4.9Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equationIsraa A. Ibrahim0Wafaa M. Taha1M. S. M. Noorani2Department of Math., College Education for Pure Sciences, Tikrit University, IraqDepartment of Math., College Education for Pure Sciences, Tikrit University, Iraq1-Department of Math., College of Sciences, Kirkuk University, Iraq ,2-School of Math. Sciences, University Kebangsaan Malaysia UKM, MalaysiaIn this article, We apply the homogeneous balance method to construct the many families of exact solution of travelling wave solution of nonlinear equations, the Benny -Luke equation and vakhnenko-parkes equation. As the result, many solitary wave solution are obtained from the solution by hyperbolic function when the parameters were taken at special values and we compared the result with the solution of F-expansion method and -expansion method, we obtained the same results by certain hypotheses. Also we drew a 3D graph of exact solution for the special Benny -luke equation and vakhnenko-parkes equation by help of the maple.https://zancojournals.su.edu.krd/index.php/JPAS/article/view/3241ApplicationHomogeneous balance methodThe Benny-Luke equationThe Vakhenko-Parkes equation |
| spellingShingle | Israa A. Ibrahim Wafaa M. Taha M. S. M. Noorani Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation Zanco Journal of Pure and Applied Sciences Application Homogeneous balance method The Benny-Luke equation The Vakhenko-Parkes equation |
| title | Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation |
| title_full | Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation |
| title_fullStr | Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation |
| title_full_unstemmed | Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation |
| title_short | Homogenous balance method for solving exact solutions of the nonlinear Benny -luke equation and Vakhnenko-Parkes equation |
| title_sort | homogenous balance method for solving exact solutions of the nonlinear benny luke equation and vakhnenko parkes equation |
| topic | Application Homogeneous balance method The Benny-Luke equation The Vakhenko-Parkes equation |
| url | https://zancojournals.su.edu.krd/index.php/JPAS/article/view/3241 |
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