On some novel solution solutions to the generalized Schrodinger-Boussinesq equations for the interaction between complex short wave and real long wave envelope

Kumar, Dipankar and Hosseini, Kamyar and Kaabar, Mohammed Khalid Awad and Kaplan, Melike and Salahshour, Soheil (2022) On some novel solution solutions to the generalized Schrodinger-Boussinesq equations for the interaction between complex short wave and real long wave envelope. Journal of Ocean Engineering and Science, 7 (4). pp. 353-362. ISSN 2468-0133, DOI https://doi.org/10.1016/j.joes.2021.09.008.

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Abstract

This paper explores some novel solutions to the generalized Schrodinger-Boussinesq (gSBq) equations, which describe the interaction between complex short wave and real long wave envelope. In order to derive some novel complex hyperbolic and complex trigonometric function solutions, the sine-Gordon equation method (sGEM) is applied to the gSBq equations. Novel complex hyperbolic and trigonometric function solutions are expressed by the dark, bright, combo dark-bright, W-shaped, M-shaped, singular, combo singular, and periodic wave solutions. The accuracy of the explored solitons is examined under the back substitution to the corresponding equations via the symbolic computation software Maple. It is found from the back substitution outcomes that all soliton solutions satisfy the original equations. The proper significance of the explored outcomes is demonstrated by the three-dimensional (3D) and two-dimensional (2D) graphs, which are presented under the selection of particular values of the free parameters. All the combo-soliton ( W-shaped, M-shaped, and periodic wave) solutions are found to be new for the interaction between complex short wave and real long wave envelope in laser physics that show the novelty of the study. Moreover, the applied method provides an efficient tool for exploring novel soliton solutions, and it overcomes the complexities of the solitary wave ansatz method.(c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: Generalized Schrodinger-Boussinesq; Equations; Sine -Gordon expansion method; Soliton solutions
Subjects: Q Science > QA Mathematics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 25 Aug 2023 07:39
Last Modified: 25 Aug 2023 07:39
URI: http://eprints.um.edu.my/id/eprint/40934

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