New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation
In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena. A couple of well-established techniques, the Bäcklund transformation based on the modified Kud...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-10-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013322000560 |
| _version_ | 1797660283429191680 |
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| author | Kong Debin Hadi Rezazadeh Najib Ullah Javad Vahidi Kalim U. Tariq Lanre Akinyemi |
| author_facet | Kong Debin Hadi Rezazadeh Najib Ullah Javad Vahidi Kalim U. Tariq Lanre Akinyemi |
| author_sort | Kong Debin |
| collection | DOAJ |
| description | In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena. A couple of well-established techniques, the Bäcklund transformation based on the modified Kudryashov method, and the Sardar-sub equation method are applied to obtain the soliton wave solution to the (2 + 1)-dimensional structure. To illustrate the behavior of the nonlinear model in an appealing fashion, a variety of travelling wave solutions are formed, such as contour, 2D, and 3D plots. The proposed approaches are proved more convenient and dominant for getting analytical solutions and can also be implemented to a variety of physical models representing nonlinear wave phenomena. |
| first_indexed | 2024-03-11T18:27:34Z |
| format | Article |
| id | doaj.art-0324597c77f0432cad1e77b7737b865a |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-03-11T18:27:34Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-0324597c77f0432cad1e77b7737b865a2023-10-13T13:55:41ZengElsevierJournal of Ocean Engineering and Science2468-01332023-10-0185527532New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equationKong Debin0Hadi Rezazadeh1Najib Ullah2Javad Vahidi3Kalim U. Tariq4Lanre Akinyemi5Department of Mathematics, Yantai Nanshan University, Shandong 265713, ChinaFaculty of Engineering Technology,Amol University of Special Modern Technologies, Amol, IranDepartment of Mathematics, COMSATS University Islamabad, Islamabad 45550, PakistanDepartment of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran; Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South AfricaDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur 10250 (AJK), PakistanDepartment of Mathematics, Lafayette College, Easton, Pennsylvania, United States; Corresponding author.In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena. A couple of well-established techniques, the Bäcklund transformation based on the modified Kudryashov method, and the Sardar-sub equation method are applied to obtain the soliton wave solution to the (2 + 1)-dimensional structure. To illustrate the behavior of the nonlinear model in an appealing fashion, a variety of travelling wave solutions are formed, such as contour, 2D, and 3D plots. The proposed approaches are proved more convenient and dominant for getting analytical solutions and can also be implemented to a variety of physical models representing nonlinear wave phenomena.http://www.sciencedirect.com/science/article/pii/S2468013322000560Modified Kudryashov methodSardar-sub equation methodBäcklund transformation(2 + 1)-dimensional SKESoliton wave solutions |
| spellingShingle | Kong Debin Hadi Rezazadeh Najib Ullah Javad Vahidi Kalim U. Tariq Lanre Akinyemi New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation Journal of Ocean Engineering and Science Modified Kudryashov method Sardar-sub equation method Bäcklund transformation (2 + 1)-dimensional SKE Soliton wave solutions |
| title | New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation |
| title_full | New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation |
| title_fullStr | New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation |
| title_full_unstemmed | New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation |
| title_short | New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation |
| title_sort | new soliton wave solutions of a 2 1 dimensional sawada kotera equation |
| topic | Modified Kudryashov method Sardar-sub equation method Bäcklund transformation (2 + 1)-dimensional SKE Soliton wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2468013322000560 |
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