New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation
The recently introduced technique, namely the generalized exponential rational function method, is applied to acquire some new exact optical solitons for the generalized Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for the considered e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-12-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/11/1/20 |
| _version_ | 1811185144285888512 |
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| author | Behzad Ghanbari Dumitru Baleanu Maysaa Al Qurashi |
| author_facet | Behzad Ghanbari Dumitru Baleanu Maysaa Al Qurashi |
| author_sort | Behzad Ghanbari |
| collection | DOAJ |
| description | The recently introduced technique, namely the generalized exponential rational function method, is applied to acquire some new exact optical solitons for the generalized Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for the considered equation. To better understand of the physical features of solutions, some physical interpretations of solutions are also included. We examined the symmetries of obtained solitary waves solutions through figures. It is concluded that our approach is very efficient and powerful for integrating different nonlinear pdes. All symbolic computations are performed in Maple package. |
| first_indexed | 2024-04-11T13:24:26Z |
| format | Article |
| id | doaj.art-375bae781ebd497187c2f3ac03f6b4c9 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T13:24:26Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-375bae781ebd497187c2f3ac03f6b4c92022-12-22T04:22:07ZengMDPI AGSymmetry2073-89942018-12-011112010.3390/sym11010020sym11010020New Exact Solutions of the Generalized Benjamin–Bona–Mahony EquationBehzad Ghanbari0Dumitru Baleanu1Maysaa Al Qurashi2Department of Engineering Science, Kermanshah University of Technology, Kermanshah 6713954658, IranDepartment of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara 06530, TurkeyDepartment of Mathematics, College of Science, King Saud University, Riyadh 11495, Saudi ArabiaThe recently introduced technique, namely the generalized exponential rational function method, is applied to acquire some new exact optical solitons for the generalized Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for the considered equation. To better understand of the physical features of solutions, some physical interpretations of solutions are also included. We examined the symmetries of obtained solitary waves solutions through figures. It is concluded that our approach is very efficient and powerful for integrating different nonlinear pdes. All symbolic computations are performed in Maple package.http://www.mdpi.com/2073-8994/11/1/20exact solutionsthe generalized Benjamin–Bona–Mahony equationgeneralized exponential rational function methodsolitary wave solutionssymbolic computation |
| spellingShingle | Behzad Ghanbari Dumitru Baleanu Maysaa Al Qurashi New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation Symmetry exact solutions the generalized Benjamin–Bona–Mahony equation generalized exponential rational function method solitary wave solutions symbolic computation |
| title | New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation |
| title_full | New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation |
| title_fullStr | New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation |
| title_full_unstemmed | New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation |
| title_short | New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation |
| title_sort | new exact solutions of the generalized benjamin bona mahony equation |
| topic | exact solutions the generalized Benjamin–Bona–Mahony equation generalized exponential rational function method solitary wave solutions symbolic computation |
| url | http://www.mdpi.com/2073-8994/11/1/20 |
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