Solitonic solutions and stability analysis of Benjamin Bona Mahony Burger equation using two versatile techniques.

Autor: Hussain E; Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan. ejazhusain.math@gmail.com., Shah SAA; Department of Mathematics and Statistics, The University of Lahore, 1-km Defence Road, Lahore, 54000, Pakistan., Bariq A; Department of Mathematics, Leghman University, 2701, Mehtarlam City, Laghman, Afghanistan. abdulbariq.maths@gmail.com., Li Z; College of Computer Science, Chengdu University, 610106, Chengdu, People's Republic of China., Ahmad MR; Center for High Energy Physics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan., Ragab AE; Department of Industrial Engineering, College of Engineering King Saud University, P.O. Box 800, 11421, Riyadh, Saudi Arabia., Az-Zo'bi EA; Department of Mathematics, Mutah University, Mutah, Al Karak, Jordan.
Jazyk: angličtina
Zdroj: Scientific reports [Sci Rep] 2024 Jun 12; Vol. 14 (1), pp. 13520. Date of Electronic Publication: 2024 Jun 12.
DOI: 10.1038/s41598-024-60732-0
Abstrakt: This study aims to explore the precise resolution of the nonlinear Benjamin Bona Mahony Burgers (BBMB) equation, which finds application in a variety of nonlinear scientific disciplines including fluid dynamics, shock generation, wave transmission, and soliton theory. Within this paper, we employ two versatile methodologies, specifically the extended exp ( - Ψ ( χ ) ) expansion technique and the novel Kudryashov method, to identify the exact soliton solutions of the nonlinear BBMB equation. The solutions we discovered involve trigonometric functions, hyperbolic functions, and rational functions. The uniqueness of this research lies in uncovering the bright soliton, kink wave solution, and periodic wave solution, and conducting stability analysis. Furthermore, the solutions' graphical characteristics were explored through the utilization of the mathematical software Maple 2022 ( https://maplesoft.com/downloads/selectplatform.aspx?hash=61ab59890f2313b2241fde3423fd975e ). The system's physical interpretation is defined through various types of graphs, including contour graphs, 3D-surface graphs, and line graphs, which use appropriate parameter values. These recommended techniques hold significant importance and are applicable in diverse nonlinear evolutionary equations found in the field of nonlinear sciences for illustrating nonlinear physical models.
(© 2024. The Author(s).)
Databáze: MEDLINE
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