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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Elsevier
2022-11-01
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Series: | Results in Physics |
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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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format | Article |
id | doaj.art-f245f9d4550d4e87b2cd206ff723aeba |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-04-11T19:21:36Z |
publishDate | 2022-11-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
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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