The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation

In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained using the modified exponential function method. E...

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Main Authors: Yusuf Pandir, Tolga Akturk, Yusuf Gurefe, Hussain Juya
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2023/1091355
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author Yusuf Pandir
Tolga Akturk
Yusuf Gurefe
Hussain Juya
author_facet Yusuf Pandir
Tolga Akturk
Yusuf Gurefe
Hussain Juya
author_sort Yusuf Pandir
collection DOAJ
description In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained using the modified exponential function method. Exact solutions consisting of hyperbolic, trigonometric, rational trigonometric, and rational function solutions demonstrate the competence and relevance of the proposed method. In addition, the physical properties of the obtained exact solutions are shown by making graphical representations according to different parameter values. It is seen that the method used is an effective technique, since these solution functions obtained with all these cases have periodic function properties.
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institution Kabale University
issn 1687-9139
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-a5bedfdf02d044f897a088bf27227f032025-02-03T06:42:41ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/1091355The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed EquationYusuf Pandir0Tolga Akturk1Yusuf Gurefe2Hussain Juya3Department of MathematicsDepartment of Mathematics and Science EducationDepartment of MathematicsDepartment of MathematicsIn this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained using the modified exponential function method. Exact solutions consisting of hyperbolic, trigonometric, rational trigonometric, and rational function solutions demonstrate the competence and relevance of the proposed method. In addition, the physical properties of the obtained exact solutions are shown by making graphical representations according to different parameter values. It is seen that the method used is an effective technique, since these solution functions obtained with all these cases have periodic function properties.http://dx.doi.org/10.1155/2023/1091355
spellingShingle Yusuf Pandir
Tolga Akturk
Yusuf Gurefe
Hussain Juya
The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
Advances in Mathematical Physics
title The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
title_full The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
title_fullStr The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
title_full_unstemmed The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
title_short The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation
title_sort modified exponential function method for beta time fractional biswas arshed equation
url http://dx.doi.org/10.1155/2023/1091355
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