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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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| 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. |
| format | Article |
| id | doaj-art-a5bedfdf02d044f897a088bf27227f03 |
| 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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