Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications
The first- and second-order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the fir...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jama/8610610 |
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| author | Wilson Osafo Apeanti David Yaro Saviour Worlanyo Akuamoah |
| author_facet | Wilson Osafo Apeanti David Yaro Saviour Worlanyo Akuamoah |
| author_sort | Wilson Osafo Apeanti |
| collection | DOAJ |
| description | The first- and second-order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first- and second-order Benjamin–Ono partial differential equations are studied in this paper. Using the extended simple equation approach, we obtained new exact, periodic, kink soliton, dark soliton, and bright soliton solutions. The moments of the obtained solutions are shown graphically to illustrate the models’ physical properties. These solutions have important uses in nanofluids and fluid dynamics. Using modulation instability analysis, the sensitivities of the septic nonlinearities in the models are examined. All of the resulting solutions are analytical and stable under the specified conditions, according to the modulation instability analysis. |
| format | Article |
| id | doaj-art-8fc8d8f7284447bca0f32a7839f5d0b5 |
| institution | OA Journals |
| issn | 1687-0042 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8fc8d8f7284447bca0f32a7839f5d0b52025-08-20T02:03:27ZengWileyJournal of Applied Mathematics1687-00422025-01-01202510.1155/jama/8610610Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With ApplicationsWilson Osafo Apeanti0David Yaro1Saviour Worlanyo Akuamoah2Department of ICT EducationDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsThe first- and second-order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first- and second-order Benjamin–Ono partial differential equations are studied in this paper. Using the extended simple equation approach, we obtained new exact, periodic, kink soliton, dark soliton, and bright soliton solutions. The moments of the obtained solutions are shown graphically to illustrate the models’ physical properties. These solutions have important uses in nanofluids and fluid dynamics. Using modulation instability analysis, the sensitivities of the septic nonlinearities in the models are examined. All of the resulting solutions are analytical and stable under the specified conditions, according to the modulation instability analysis.http://dx.doi.org/10.1155/jama/8610610 |
| spellingShingle | Wilson Osafo Apeanti David Yaro Saviour Worlanyo Akuamoah Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications Journal of Applied Mathematics |
| title | Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications |
| title_full | Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications |
| title_fullStr | Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications |
| title_full_unstemmed | Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications |
| title_short | Solitary Wave Solutions and Modulation Instability of First- and Second-Order Benjamin–Ono Fluid Dynamics Models With Applications |
| title_sort | solitary wave solutions and modulation instability of first and second order benjamin ono fluid dynamics models with applications |
| url | http://dx.doi.org/10.1155/jama/8610610 |
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