Analytical Solutions for the Nonlinear Stochastic Fractional KdV Equation: An application of the Generalized Riccati Equation Mapping Method
The article examines the fractional stochastic Korteweg-de Vries (FSKdV) equation, with a focus on space-time white noise and conformable fractional derivatives (CFD). The primary aim is to utilize the generalized Riccati equation mapping (GREM) method to derive soliton and soliton-like, periodic an...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Tamkang University Press
2025-06-01
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| Series: | Journal of Applied Science and Engineering |
| Subjects: | |
| Online Access: | http://jase.tku.edu.tw/articles/jase-202603-29-03-0002 |
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| Summary: | The article examines the fractional stochastic Korteweg-de Vries (FSKdV) equation, with a focus on space-time white noise and conformable fractional derivatives (CFD). The primary aim is to utilize the generalized Riccati equation mapping (GREM) method to derive soliton and soliton-like, periodic and rational solutions for the FSKdV equation, taking into account various conditions of space-time fractional order beside white noise as well. The acquired exact analytical solutions’ physical characteristics are elucidated through graphical illustrations,
which clearly show the effects of changing the fractional order and including the stochastic term. The results confirm the GREM method’s reliability and effectiveness in solving the FSKdV equation. |
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| ISSN: | 2708-9967 2708-9975 |