| Autor: |
Naseem Abbas, Firdous Bibi, Akhtar Hussain, Tarek F. Ibrahim, Arafa A. Dawood, Fathea M. Osman Birkea, Ahmed M. Hassan |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Alexandria Engineering Journal, Vol 91, Iss , Pp 429-441 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1110-0168 |
| DOI: |
10.1016/j.aej.2024.02.021 |
| Popis: |
In this article, the nonlinear (3+1) dimensional Wazwaz Benjamin Bona Mahony (WBBM) equation is considered for analysis which is related to some specific undular bore evolution through a long wave in shallow water. One-dimensional optimal system of Lie infinitesimal generators, associated vector field, commutation relations, and adjoint representation for the WBBM equation are illustrated. Moreover, the symmetry reductions are made, and closed-form solutions of the WBBM equation are obtained based on the optimal system. In addition, we make use of the transnational symmetries to reduce the governing equation to a nonlinear ordinary differential equation which is solved using the new extended direct algebraic method (NEDAM) to obtain the traveling wave profile of the WBBM equation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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