Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations
The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended di...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/926838 |
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| _version_ | 1832554276374708224 |
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| author | A. R. Seadawy A. Sayed |
| author_facet | A. R. Seadawy A. Sayed |
| author_sort | A. R. Seadawy |
| collection | DOAJ |
| description | The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed. |
| format | Article |
| id | doaj-art-4088f5d4403943deaccdac6f3d6392da |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4088f5d4403943deaccdac6f3d6392da2025-02-03T05:51:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/926838926838Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave EquationsA. R. Seadawy0A. Sayed1Mathematics Department, Faculty of Science, Taibah University, Al-Ula 41921-259, Saudi ArabiaMathematics Department, Faculty of Science, Beni-Suef University, EgyptThe modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.http://dx.doi.org/10.1155/2014/926838 |
| spellingShingle | A. R. Seadawy A. Sayed Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations Abstract and Applied Analysis |
| title | Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations |
| title_full | Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations |
| title_fullStr | Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations |
| title_full_unstemmed | Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations |
| title_short | Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations |
| title_sort | traveling wave solutions of the benjamin bona mahony water wave equations |
| url | http://dx.doi.org/10.1155/2014/926838 |
| work_keys_str_mv | AT arseadawy travelingwavesolutionsofthebenjaminbonamahonywaterwaveequations AT asayed travelingwavesolutionsofthebenjaminbonamahonywaterwaveequations |