Propagation of some new traveling wave patterns of the double dispersive equation

This article aims to address the exact solution of the prestigious partial differential equation, namely, a double dispersive equation. Here, we are obtaining some new traveling wave solutions of the double dispersive equation with the more general mathematical technique, which is a direct algebraic...

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Main Authors: Asjad Muhammad Imran, Faridi Waqas Ali, Jhangeer Adil, Ahmad Hijaz, Abdel-Khalek Sayed, Alshehri Nawal
Format: Article
Language:English
Published: De Gruyter 2022-03-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2022-0014
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author Asjad Muhammad Imran
Faridi Waqas Ali
Jhangeer Adil
Ahmad Hijaz
Abdel-Khalek Sayed
Alshehri Nawal
author_facet Asjad Muhammad Imran
Faridi Waqas Ali
Jhangeer Adil
Ahmad Hijaz
Abdel-Khalek Sayed
Alshehri Nawal
author_sort Asjad Muhammad Imran
collection DOAJ
description This article aims to address the exact solution of the prestigious partial differential equation, namely, a double dispersive equation. Here, we are obtaining some new traveling wave solutions of the double dispersive equation with the more general mathematical technique, which is a direct algebraic extended method. This proposed technique is more general and integrated. The obtained solutions contain dark, bright, dark–bright, singular, periodic, kink, and rational function solutions. More illustration of traveling wave solutions of the double dispersive equation is given by plotting the two- and three-dimensional graphs with the suitable selection of parameters. This graphical presentation of solutions identifies the pattern of wave propagation. The acquired consequences are new and may play a significant role to examine the physical phenomena of wave propagation, where this model is used.
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spelling doaj.art-d8846b32681845d9ac243c6b09048ad42022-12-22T04:28:54ZengDe GruyterOpen Physics2391-54712022-03-0120113014110.1515/phys-2022-0014Propagation of some new traveling wave patterns of the double dispersive equationAsjad Muhammad Imran0Faridi Waqas Ali1Jhangeer Adil2Ahmad Hijaz3Abdel-Khalek Sayed4Alshehri Nawal5Department of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, Namal Institute, 30km Talagang Road, Mianwali 42250, PakistanInformation Technology Application and Research Center, Istanbul Ticaret University, 34445, Istanbul, TurkeyDepartment of Mathematics, College of Science, P.O. Box 11099, Taif University, Taif 21944, Saudi ArabiaDepartment of Mathematics, College of Science, P.O. Box 11099, Taif University, Taif 21944, Saudi ArabiaThis article aims to address the exact solution of the prestigious partial differential equation, namely, a double dispersive equation. Here, we are obtaining some new traveling wave solutions of the double dispersive equation with the more general mathematical technique, which is a direct algebraic extended method. This proposed technique is more general and integrated. The obtained solutions contain dark, bright, dark–bright, singular, periodic, kink, and rational function solutions. More illustration of traveling wave solutions of the double dispersive equation is given by plotting the two- and three-dimensional graphs with the suitable selection of parameters. This graphical presentation of solutions identifies the pattern of wave propagation. The acquired consequences are new and may play a significant role to examine the physical phenomena of wave propagation, where this model is used.https://doi.org/10.1515/phys-2022-0014new direct extended algebraic methodtraveling wave solutions
spellingShingle Asjad Muhammad Imran
Faridi Waqas Ali
Jhangeer Adil
Ahmad Hijaz
Abdel-Khalek Sayed
Alshehri Nawal
Propagation of some new traveling wave patterns of the double dispersive equation
Open Physics
new direct extended algebraic method
traveling wave solutions
title Propagation of some new traveling wave patterns of the double dispersive equation
title_full Propagation of some new traveling wave patterns of the double dispersive equation
title_fullStr Propagation of some new traveling wave patterns of the double dispersive equation
title_full_unstemmed Propagation of some new traveling wave patterns of the double dispersive equation
title_short Propagation of some new traveling wave patterns of the double dispersive equation
title_sort propagation of some new traveling wave patterns of the double dispersive equation
topic new direct extended algebraic method
traveling wave solutions
url https://doi.org/10.1515/phys-2022-0014
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