Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions
The problem formulations of the nonlinear for the small-long amplitude two-dimensional water waves propagation with free surface are studied. The water wave problem leads to the nonlinear Olver dynamical equation. By applying the extended mapping method, We derive the solitary wave solutions of the...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-03-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379717320934 |
| _version_ | 1818658429211770880 |
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| author | Aly R. Seadawy Sultan Z. Alamri |
| author_facet | Aly R. Seadawy Sultan Z. Alamri |
| author_sort | Aly R. Seadawy |
| collection | DOAJ |
| description | The problem formulations of the nonlinear for the small-long amplitude two-dimensional water waves propagation with free surface are studied. The water wave problem leads to the nonlinear Olver dynamical equation. By applying the extended mapping method, We derive the solitary wave solutions of the nonlinear Olver dynamical equation. These solutions for the nonlinear Olver dynamical equation are obtained efficiency and precisely of the method can be demonstrated. The movement role of the waves by making the graphs of the exact solutions and the stability of these solutions are analyzed and discussed. All solutions are stable and exact. Keywords: Shallow water waves, Solitary waves solutions, Extended mapping method, Mathematical physics methods |
| first_indexed | 2024-12-17T03:57:14Z |
| format | Article |
| id | doaj.art-e1aaca8c23d9452db2466c9a500cbcea |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-17T03:57:14Z |
| publishDate | 2018-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-e1aaca8c23d9452db2466c9a500cbcea2022-12-21T22:04:36ZengElsevierResults in Physics2211-37972018-03-018286291Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutionsAly R. Seadawy0Sultan Z. Alamri1Mathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding author at: Mathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.Mathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaThe problem formulations of the nonlinear for the small-long amplitude two-dimensional water waves propagation with free surface are studied. The water wave problem leads to the nonlinear Olver dynamical equation. By applying the extended mapping method, We derive the solitary wave solutions of the nonlinear Olver dynamical equation. These solutions for the nonlinear Olver dynamical equation are obtained efficiency and precisely of the method can be demonstrated. The movement role of the waves by making the graphs of the exact solutions and the stability of these solutions are analyzed and discussed. All solutions are stable and exact. Keywords: Shallow water waves, Solitary waves solutions, Extended mapping method, Mathematical physics methodshttp://www.sciencedirect.com/science/article/pii/S2211379717320934 |
| spellingShingle | Aly R. Seadawy Sultan Z. Alamri Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions Results in Physics |
| title | Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions |
| title_full | Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions |
| title_fullStr | Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions |
| title_full_unstemmed | Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions |
| title_short | Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions |
| title_sort | mathematical methods via the nonlinear two dimensional water waves of olver dynamical equation and its exact solitary wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2211379717320934 |
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