The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods

We consider in this study the (3+1)-dimensional stochastic potential Yu–Toda–Sasa–Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He’s semi-inverse and improved...

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Bibliographic Details
Published inFractal and fractional Vol. 7; no. 11; p. 787
Main Authors Albosaily, Sahar, Elsayed, Elsayed M., Albalwi, M. Daher, Alesemi, Meshari, Mohammed, Wael W.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.11.2023
Subjects
conformable derivative
exact stochastic solutions
Fluid dynamics
Hyperbolic functions
improved (G′/G)-expansion method
Methods
Plasma physics
Solitary waves
stabilization by noise
White noise
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Summary:We consider in this study the (3+1)-dimensional stochastic potential Yu–Toda–Sasa–Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He’s semi-inverse and improved (G′/G)-expansion methods. Because it investigates solitons and nonlinear waves in dispersive media, plasma physics and fluid dynamics, the potential Yu–Toda–Sasa–Fukuyama theory may explain many intriguing scientific phenomena. We provide numerous 2D and 3D figures to address how the white noise destroys the pattern formation of the solutions and stabilizes the solutions of SPYTSFE-CD.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7110787