Analytical treatment of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave
type: Item
instance of: scholarly article
title: Analytical treatment of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave
zbMATH Open document ID: 1479.35025
DOI: 10.1155/2021/1164838
author: Yong-Yan Fan
author: Syed Maqsood Zia
author: Dinh Tran Ngoc Huy
author: Jalil Manafian
author: Trung Hieu Le
published in: Advances in Mathematical Physics
publication date: 2021-11-25T00:00:00Z
review text: Summary: 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 \(\tan(\chi(\xi))\) 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.
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76M30
zbMATH DE Number: 7433469
zbMATH Keywords: Hirota bilinear operator
zbMATH Keywords: cross-kink wave solutions
zbMATH Keywords: semi-inverse variational principle (SIVP)
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1164838
OpenAlex ID: W3206146894
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description: scientific article; zbMATH DE number 7433469