New soliton solutions for the conformal time derivative q-deformed physical model

In the present study, the conformal time derivative generalized q-deformed Sinh–Gordon equation is discussed analytically and numerically. This work is a continuation of a series of works presented recently, but we have developed the form of the equation in a way that all previous studies are a spec...

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Main Authors: Khalid K. Ali, Abdel-Haleem Abdel-Aty, Hichem Eleuch
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379722006076
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author Khalid K. Ali
Abdel-Haleem Abdel-Aty
Hichem Eleuch
author_facet Khalid K. Ali
Abdel-Haleem Abdel-Aty
Hichem Eleuch
author_sort Khalid K. Ali
collection DOAJ
description In the present study, the conformal time derivative generalized q-deformed Sinh–Gordon equation is discussed analytically and numerically. This work is a continuation of a series of works presented recently, but we have developed the form of the equation in a way that all previous studies are a special case of it. We presented an extensive analytical and numerical study of the proposed equation using the (G′/G)-expansion approach and the exponential cubic B-spline algorithm respectively. Several figures are also provided to show the different solitons propagation patterns. The proposed model has opened up new options for describing physical systems that have lost their symmetry.
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spelling doaj.art-f245f9d4550d4e87b2cd206ff723aeba2022-12-22T04:07:17ZengElsevierResults in Physics2211-37972022-11-0142105993New soliton solutions for the conformal time derivative q-deformed physical modelKhalid K. Ali0Abdel-Haleem Abdel-Aty1Hichem Eleuch2Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt; Corresponding author.Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia; Physics Department, Faculty of Science, Al-Azhar University, Assiut, 71524, EgyptDepartment of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates; College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, 59911, United Arab Emirates; Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USAIn the present study, the conformal time derivative generalized q-deformed Sinh–Gordon equation is discussed analytically and numerically. This work is a continuation of a series of works presented recently, but we have developed the form of the equation in a way that all previous studies are a special case of it. We presented an extensive analytical and numerical study of the proposed equation using the (G′/G)-expansion approach and the exponential cubic B-spline algorithm respectively. Several figures are also provided to show the different solitons propagation patterns. The proposed model has opened up new options for describing physical systems that have lost their symmetry.http://www.sciencedirect.com/science/article/pii/S2211379722006076q-deformed Sinh–Gordon equationConformal time derivative definitionSolitos solutionsThe (G’/G)-expansion approachThe exponential cubic B-spline algorithm
spellingShingle Khalid K. Ali
Abdel-Haleem Abdel-Aty
Hichem Eleuch
New soliton solutions for the conformal time derivative q-deformed physical model
Results in Physics
q-deformed Sinh–Gordon equation
Conformal time derivative definition
Solitos solutions
The (G’/G)-expansion approach
The exponential cubic B-spline algorithm
title New soliton solutions for the conformal time derivative q-deformed physical model
title_full New soliton solutions for the conformal time derivative q-deformed physical model
title_fullStr New soliton solutions for the conformal time derivative q-deformed physical model
title_full_unstemmed New soliton solutions for the conformal time derivative q-deformed physical model
title_short New soliton solutions for the conformal time derivative q-deformed physical model
title_sort new soliton solutions for the conformal time derivative q deformed physical model
topic q-deformed Sinh–Gordon equation
Conformal time derivative definition
Solitos solutions
The (G’/G)-expansion approach
The exponential cubic B-spline algorithm
url http://www.sciencedirect.com/science/article/pii/S2211379722006076
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