New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles

Yun-Hui Zhao; Thilagarajah Mathanaranjan; Hadi Rezazadeh; Lanre Akinyemi; Mustafa Inc

Results in Physics (Dec 2022)

New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles

Yun-Hui Zhao,
Thilagarajah Mathanaranjan,
Hadi Rezazadeh,
Lanre Akinyemi,
Mustafa Inc

Affiliations

Yun-Hui Zhao: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
Thilagarajah Mathanaranjan: Department of Mathematics and Statistics, University of Jaffna, Sri Lanka
Hadi Rezazadeh: Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran
Lanre Akinyemi: Department of Mathematics, Lafayette College, Easton, PA, USA
Mustafa Inc: Department of Mathematics, Firat University, 23119 Elazig, Turkey; Department of Medical Research, China Medical University, 40402, Taichung, Taiwan; Corresponding author at: Department of Mathematics, Firat University, 23119 Elazig, Turkey.

Journal volume & issue: Vol. 43
p. 106083

Abstract

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In this study, solitary wave solutions for the generalized (3+1)-dimensional nonlinear wave equation (NLWE) are extracted using a new generalized exponential rational function method (GERFM). Numerous nonlinear behaviors in liquids with gas bubbles are described by this equation. The suggested method is used to derive the various kinds of new accurate soliton solutions for the equation. Also, the physical interpretations of some obtained solutions are represented. In addition, a modulational instability analysis framework is used to look at the system’s stability.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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