Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods
Abstract This paper investigates the optical soliton solutions of the time-fractional Akbota equation, a model arising in nonlinear optics. The generalized rational function method and the F-expansion approach are utilized to derive soliton solutions incorporating the beta-derivative. These solution...
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Nature Portfolio
2025-08-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-14719-0 |
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| author | Salim S. Mahmood Salah Mahmoud Boulaaras Muhammad Amin S. Murad Sandeep Malik |
| author_facet | Salim S. Mahmood Salah Mahmoud Boulaaras Muhammad Amin S. Murad Sandeep Malik |
| author_sort | Salim S. Mahmood |
| collection | DOAJ |
| description | Abstract This paper investigates the optical soliton solutions of the time-fractional Akbota equation, a model arising in nonlinear optics. The generalized rational function method and the F-expansion approach are utilized to derive soliton solutions incorporating the beta-derivative. These solutions are depicted through 2D, contour, and 3D graphical representations, illustrating the temporal evolution of soliton profiles and revealing the influence of the fractional parameter $$\beta$$ on soliton dynamics. The impact of the conformable derivative parameter and time on the optical solutions is also analyzed, emphasizing their role in shaping soliton properties. The graphical studies highlight the stability and propagation characteristics of solitons, offering valuable insights into their behavior under varying parameters. This research contributes to a deeper understanding of the Akbota equation, enhancing its application in surface geometry and aiding in the development of advanced models for optical and magnetic phenomena in nonlinear systems. |
| format | Article |
| id | doaj-art-1d1bfb6320ba4fb784464cd34f828b32 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-1d1bfb6320ba4fb784464cd34f828b322025-08-20T04:02:51ZengNature PortfolioScientific Reports2045-23222025-08-0115111510.1038/s41598-025-14719-0Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methodsSalim S. Mahmood0Salah Mahmoud Boulaaras1Muhammad Amin S. Murad2Sandeep Malik3Department of Mathematics, Faculty of Science, Soran UniversityDepartment of Mathematics, College of Science, Qassim UniversityDepartment of Mathematics, College of Science, University of DuhokDepartment of Mathematics, Akal UniversityAbstract This paper investigates the optical soliton solutions of the time-fractional Akbota equation, a model arising in nonlinear optics. The generalized rational function method and the F-expansion approach are utilized to derive soliton solutions incorporating the beta-derivative. These solutions are depicted through 2D, contour, and 3D graphical representations, illustrating the temporal evolution of soliton profiles and revealing the influence of the fractional parameter $$\beta$$ on soliton dynamics. The impact of the conformable derivative parameter and time on the optical solutions is also analyzed, emphasizing their role in shaping soliton properties. The graphical studies highlight the stability and propagation characteristics of solitons, offering valuable insights into their behavior under varying parameters. This research contributes to a deeper understanding of the Akbota equation, enhancing its application in surface geometry and aiding in the development of advanced models for optical and magnetic phenomena in nonlinear systems.https://doi.org/10.1038/s41598-025-14719-0Mathematical modelOptical soliton solutionsTime-fractional Akbota equationNonlinear optics |
| spellingShingle | Salim S. Mahmood Salah Mahmoud Boulaaras Muhammad Amin S. Murad Sandeep Malik Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods Scientific Reports Mathematical model Optical soliton solutions Time-fractional Akbota equation Nonlinear optics |
| title | Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods |
| title_full | Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods |
| title_fullStr | Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods |
| title_full_unstemmed | Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods |
| title_short | Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods |
| title_sort | optical solutions to the time fractional akbota equation arising in nonlinear optics via two distinct methods |
| topic | Mathematical model Optical soliton solutions Time-fractional Akbota equation Nonlinear optics |
| url | https://doi.org/10.1038/s41598-025-14719-0 |
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