Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation
The stochastic Bogoyavlenskii equation with M-truncated derivatives (SBE-MTD) is considered in this article. Our objective in this paper is to find the exact solutions to this problem by using the G′/G-expansion and Jacobi elliptic function methods. Due to the fact that this equation is used in flui...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/8812792 |
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| author | Farah M. Al-Askar |
| author_facet | Farah M. Al-Askar |
| author_sort | Farah M. Al-Askar |
| collection | DOAJ |
| description | The stochastic Bogoyavlenskii equation with M-truncated derivatives (SBE-MTD) is considered in this article. Our objective in this paper is to find the exact solutions to this problem by using the G′/G-expansion and Jacobi elliptic function methods. Due to the fact that this equation is used in fluid dynamics, plasma physics, and nonlinear optics, the acquired results here will aid researchers in characterizing a vast array of intriguing physical phenomena. By providing several graphical representations, we examine how the stochastic term and M-truncated derivative affect the dynamics of the acquired solutions. Finally, we conclude that the Wiener process stabilizes the solutions of the Bogoyavlenskii equation, and the M-truncated derivatives shift the surface to the left as the derivative’s order decreases. |
| format | Article |
| id | doaj-art-90b090ef752c438e82b7c4384d2b0791 |
| institution | DOAJ |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-90b090ef752c438e82b7c4384d2b07912025-08-20T03:20:32ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/8812792Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii EquationFarah M. Al-Askar0Department of Mathematical ScienceThe stochastic Bogoyavlenskii equation with M-truncated derivatives (SBE-MTD) is considered in this article. Our objective in this paper is to find the exact solutions to this problem by using the G′/G-expansion and Jacobi elliptic function methods. Due to the fact that this equation is used in fluid dynamics, plasma physics, and nonlinear optics, the acquired results here will aid researchers in characterizing a vast array of intriguing physical phenomena. By providing several graphical representations, we examine how the stochastic term and M-truncated derivative affect the dynamics of the acquired solutions. Finally, we conclude that the Wiener process stabilizes the solutions of the Bogoyavlenskii equation, and the M-truncated derivatives shift the surface to the left as the derivative’s order decreases.http://dx.doi.org/10.1155/2024/8812792 |
| spellingShingle | Farah M. Al-Askar Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation Advances in Mathematical Physics |
| title | Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation |
| title_full | Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation |
| title_fullStr | Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation |
| title_full_unstemmed | Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation |
| title_short | Abundant Exact Solutions of the Fractional Stochastic Bogoyavlenskii Equation |
| title_sort | abundant exact solutions of the fractional stochastic bogoyavlenskii equation |
| url | http://dx.doi.org/10.1155/2024/8812792 |
| work_keys_str_mv | AT farahmalaskar abundantexactsolutionsofthefractionalstochasticbogoyavlenskiiequation |