Exploring Solutions to the Stochastic Fractional Zakharov-Kuznetsov Equation Influenced by Space-Time White Noise Using the Tanh-Coth Method

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DOI: https://doi.org/10.28924/2291-8639-23-2025-38
Published: Feb 14, 2025
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Abaker A. Hassaballa, Exploring Solutions to the Stochastic Fractional Zakharov-Kuznetsov Equation Influenced by Space-Time White Noise Using the Tanh-Coth Method, Int. J. Anal. Appl., 23 (2025), 38.

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Abaker A. Hassaballa

Abstract

This study investigates the stochastic fractional Zakharov-Kuznetsov equation (SFZKE) influenced by space-time white noise, utilizing the conformable fractional derivative (CFD). The primary objective is to employ the Tanh-Coth method to derive soliton, wave, and periodic solutions for SFZKE under varying conditions of space-time white noise and fractional order. A broader spectrum of exact analytical solutions for the SFZKE has been achieved. Graphical representations are provided to highlight the physical properties of the obtained solutions. The Tanh-Coth method is demonstrated to be a reliable and effective approach for solving stochastic fractional partial differential equations.

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