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

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 metho...

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Main Authors: Yun-Hui Zhao, Thilagarajah Mathanaranjan, Hadi Rezazadeh, Lanre Akinyemi, Mustafa Inc
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379722006970
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author Yun-Hui Zhao
Thilagarajah Mathanaranjan
Hadi Rezazadeh
Lanre Akinyemi
Mustafa Inc
author_facet Yun-Hui Zhao
Thilagarajah Mathanaranjan
Hadi Rezazadeh
Lanre Akinyemi
Mustafa Inc
author_sort Yun-Hui Zhao
collection DOAJ
description 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.
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spelling doaj.art-e2b4f97489ba4b2eab3c5615301fef8c2022-12-22T03:47:44ZengElsevierResults in Physics2211-37972022-12-0143106083New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubblesYun-Hui Zhao0Thilagarajah Mathanaranjan1Hadi Rezazadeh2Lanre Akinyemi3Mustafa Inc4School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaDepartment of Mathematics and Statistics, University of Jaffna, Sri LankaFaculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, IranDepartment of Mathematics, Lafayette College, Easton, PA, USADepartment 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.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.http://www.sciencedirect.com/science/article/pii/S2211379722006970Generalized (3 + 1)-dimensional NLWENew GERFMSolitary wave solutionsModulational instability analysis
spellingShingle Yun-Hui Zhao
Thilagarajah Mathanaranjan
Hadi Rezazadeh
Lanre Akinyemi
Mustafa Inc
New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
Results in Physics
Generalized (3 + 1)-dimensional NLWE
New GERFM
Solitary wave solutions
Modulational instability analysis
title New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
title_full New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
title_fullStr New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
title_full_unstemmed New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
title_short New solitary wave solutions and stability analysis for the generalized (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
title_sort new solitary wave solutions and stability analysis for the generalized 3 1 dimensional nonlinear wave equation in liquid with gas bubbles
topic Generalized (3 + 1)-dimensional NLWE
New GERFM
Solitary wave solutions
Modulational instability analysis
url http://www.sciencedirect.com/science/article/pii/S2211379722006970
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