A new computational investigation to the new exact solutions of (3 + 1)-dimensional WKdV equations via two novel procedures arising in shallow water magnetohydrodynamics

Zhou, Maojie and Akbulut, Arzu and Kaplan, Melike and Kaabar, Mohammed K. A. and Yue, Xiao-Guang (2022) A new computational investigation to the new exact solutions of (3 + 1)-dimensional WKdV equations via two novel procedures arising in shallow water magnetohydrodynamics. Nonlinear Engineering, 11 (1). 478 – 484. ISSN 21928010, DOI https://doi.org/10.1515/nleng-2022-0041.

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Abstract

Various new exact solutions to (3 + 1)-dimensional Wazwaz-KdV equations are obtained in this work via two techniques: the modified Kudryashov procedure and modified simple equation method. The 3D plots, contour plots, and 2D plots of some obtained solutions are provided to describe the dynamic characteristics of the obtained solutions. Our employed techniques are very helpful in constructing new exact solutions to several nonlinear models encountered in ocean scientific phenomena arising in stratified flows, shallow water, plasma physics, and internal waves. © 2022 Maojie Zhou et al., published by De Gruyter.

Item Type: Article
Funders: Guangxi Science and Technology Plan Project [Grant No ; guikeAB17195028], Guangxi University Young and Middle-Aged Teachers' Basic Scientific Research Ability Improvement Project [Grant No ; 2021KY1675], Guilin Science and Technology Research and Development Project [Grant No ; 20180102-2, 20170220]
Uncontrolled Keywords: Korteweg-de Vries equation; Magnetoplasma; Computational investigation; Contour plot; Exact solution; Exact solution (3 + 1)-dimensional modified wazwaz-KdV equation; Kdv equation; Modified kudryashov procedure; Modified simple equation method; New exact solutions; Shallow waters; Simplest equation method; Magnetohydrodynamics
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 29 Dec 2023 03:46
Last Modified: 29 Dec 2023 03:46
URI: http://eprints.um.edu.my/id/eprint/43866

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