Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave
In the current study, an analytical treatment is studied starting from the 2+1-dimensional generalized Hirota-Satsuma-Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of the bilinear form with the help of the Hirota...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/1164838 |
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| author | Fan Yong-Yan Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le |
| author_facet | Fan Yong-Yan Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le |
| author_sort | Fan Yong-Yan |
| collection | DOAJ |
| description | In the current study, an analytical treatment is studied starting from the 2+1-dimensional generalized Hirota-Satsuma-Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of the bilinear form with the help of the Hirota bilinear operator. Then, by the suggested method, the periodic, cross-kink wave solutions are also obtained. Also, the semi-inverse variational principle (SIVP) will be utilized for the generalized HSI equation. Two major cases were investigated from two different techniques. Moreover, the improved tanχξ method on the generalized Hirota-Satsuma-Ito equation is probed. The 3D, density, and contour graphs illustrating some instances of got solutions have been demonstrated from a selection of some suitable parameters. The existing conditions are handled to discuss the available got solutions. The current work is extensively utilized to report plenty of attractive physical phenomena in the areas of shallow water waves and so on. |
| format | Article |
| id | doaj-art-e25aac47bba94f6a906d16ee0d07b179 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e25aac47bba94f6a906d16ee0d07b1792025-02-03T05:44:10ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/11648381164838Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water WaveFan Yong-Yan0Jalil Manafian1Syed Maqsood Zia2Dinh Tran Ngoc Huy3Trung-Hieu Le4College of Mathematics and Statistics, Cangzhou Normal University, Cangzhou 061001, ChinaDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranDepartment of Statistics, Faculty of Physical Sciences, Shah Abdul Latif University Khairpur, Sindh, PakistanBanking University, Ho Chi Minh City, VietnamDai Nam University, VietnamIn the current study, an analytical treatment is studied starting from the 2+1-dimensional generalized Hirota-Satsuma-Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of the bilinear form with the help of the Hirota bilinear operator. Then, by the suggested method, the periodic, cross-kink wave solutions are also obtained. Also, the semi-inverse variational principle (SIVP) will be utilized for the generalized HSI equation. Two major cases were investigated from two different techniques. Moreover, the improved tanχξ method on the generalized Hirota-Satsuma-Ito equation is probed. The 3D, density, and contour graphs illustrating some instances of got solutions have been demonstrated from a selection of some suitable parameters. The existing conditions are handled to discuss the available got solutions. The current work is extensively utilized to report plenty of attractive physical phenomena in the areas of shallow water waves and so on.http://dx.doi.org/10.1155/2021/1164838 |
| spellingShingle | Fan Yong-Yan Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave Advances in Mathematical Physics |
| title | Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave |
| title_full | Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave |
| title_fullStr | Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave |
| title_full_unstemmed | Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave |
| title_short | Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave |
| title_sort | analytical treatment of the generalized hirota satsuma ito equation arising in shallow water wave |
| url | http://dx.doi.org/10.1155/2021/1164838 |
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