Yong-Yan, Fan and Manafian, Jalil and Zia, Syed Maqsood and Huy, Dinh Tran Ngoc and Le, Trung-Hieu and Ma, Wen-Xiu (2021) Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave. Advances in Mathematical Physics, 2021. pp. 1-26. ISSN 1687-9120
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Abstract
In the current study, an analytical treatment is studied starting from the ð2+1Þ-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, crosskink 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 tan ðχðξÞÞ 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.
Item Type: | Article |
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Subjects: | Euro Archives > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 01 Dec 2022 05:02 |
Last Modified: | 06 Mar 2024 03:51 |
URI: | http://publish7promo.com/id/eprint/669 |