Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method
This article aims to explore and examine general soliton solutions within the context of the generalized Benjamin-Bona-Mahony equation. This equation is a significant mathematical tool employed in the study of wave dynamics in ocean physics. In this paper, we investigate and generate new propagating...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123001006 |
| _version_ | 1797390365117906944 |
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| author | Shuvo Sarker Ghada S. Said M.M. Tharwat Rezaul Karim M. Ali Akbar Nasser.S. Elazab M.S. Osman Pinakee Dey |
| author_facet | Shuvo Sarker Ghada S. Said M.M. Tharwat Rezaul Karim M. Ali Akbar Nasser.S. Elazab M.S. Osman Pinakee Dey |
| author_sort | Shuvo Sarker |
| collection | DOAJ |
| description | This article aims to explore and examine general soliton solutions within the context of the generalized Benjamin-Bona-Mahony equation. This equation is a significant mathematical tool employed in the study of wave dynamics in ocean physics. In this paper, we investigate and generate new propagating soliton solutions for the above-mentioned equation using the (ϕ′/ϕ) − expansion method, an elegant mathematical approach. Rational, trigonometric, and hyperbolic functions are used to express these solutions. In order to provide a visual comprehension of the complex physical phenomena regulating the system, we additionally demonstrate graphics in two and three dimensions. The study explores a range of parameter configurations that yield distinct soliton solutions. By visually depicting these solutions based on specific parameter choices, a deeper comprehension of the system's complex behavior is achieved. The article sheds light on novel findings concerning soliton solutions for the mentioned equation, unveiling previously unnoticed aspects of this captivating mathematical problem. |
| first_indexed | 2024-03-08T23:10:40Z |
| format | Article |
| id | doaj.art-a806aa9f90d84bd7bac953694f2ff4a4 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:40Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-a806aa9f90d84bd7bac953694f2ff4a42023-12-15T07:26:53ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100587Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion methodShuvo Sarker0Ghada S. Said1M.M. Tharwat2Rezaul Karim3M. Ali Akbar4Nasser.S. Elazab5M.S. Osman6Pinakee Dey7Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail 1902, BangladeshDepartment of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef 62511, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef 62511, EgyptDepartment of Mathematics, Mawlana Bhashani Science and Technology University, Tangail 1902, BangladeshDepartment of Applied Mathematics, Rajshahi University, Rajshahi 6205, BangladeshDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, EgyptDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; Mathematics Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia; Corresponding author.Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail 1902, BangladeshThis article aims to explore and examine general soliton solutions within the context of the generalized Benjamin-Bona-Mahony equation. This equation is a significant mathematical tool employed in the study of wave dynamics in ocean physics. In this paper, we investigate and generate new propagating soliton solutions for the above-mentioned equation using the (ϕ′/ϕ) − expansion method, an elegant mathematical approach. Rational, trigonometric, and hyperbolic functions are used to express these solutions. In order to provide a visual comprehension of the complex physical phenomena regulating the system, we additionally demonstrate graphics in two and three dimensions. The study explores a range of parameter configurations that yield distinct soliton solutions. By visually depicting these solutions based on specific parameter choices, a deeper comprehension of the system's complex behavior is achieved. The article sheds light on novel findings concerning soliton solutions for the mentioned equation, unveiling previously unnoticed aspects of this captivating mathematical problem.http://www.sciencedirect.com/science/article/pii/S2666818123001006The generalized Benjamin-Bona-Mahony equationThe (ϕ′/ϕ) − expansion methodAnalytical wave solutions |
| spellingShingle | Shuvo Sarker Ghada S. Said M.M. Tharwat Rezaul Karim M. Ali Akbar Nasser.S. Elazab M.S. Osman Pinakee Dey Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method Partial Differential Equations in Applied Mathematics The generalized Benjamin-Bona-Mahony equation The (ϕ′/ϕ) − expansion method Analytical wave solutions |
| title | Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method |
| title_full | Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method |
| title_fullStr | Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method |
| title_full_unstemmed | Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method |
| title_short | Soliton solutions to a wave equation using the (ϕ'/ϕ)– expansion method |
| title_sort | soliton solutions to a wave equation using the ϕ ϕ expansion method |
| topic | The generalized Benjamin-Bona-Mahony equation The (ϕ′/ϕ) − expansion method Analytical wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123001006 |
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