The Soliton Solutions of the Stochastic Shallow Water Wave Equations in the Sense of Beta-Derivative

Wael W. Mohammed (), Farah M. Al-Askar, Clemente Cesarano and Elkhateeb S. Aly
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Wael W. Mohammed: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Farah M. Al-Askar: Department of Mathematical Science, Collage of Science, Princess Nourah Bint, Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
Elkhateeb S. Aly: Mathematics Department, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

Mathematics, 2023, vol. 11, issue 6, 1-11

Abstract: The stochastic shallow water wave equation (SSWWE) in the sense of the beta-derivative is considered in this study. The solutions of the SSWWE are obtained using the F-expansion technique with the Riccati equation and He’s semi-inverse method. Since the shallow water equation has many uses in ocean engineering, including river irrigation flows, tidal waves, tsunami prediction, and weather simulations, the solutions discovered can be utilized to represent a wide variety of exciting physical events. We create many 2D and 3D graphs to demonstrate how the beta-derivative and Brownian motion affect the analytical solutions of the SSWWE.

Keywords: stochastic shallow water wave; beta-derivative; Brownian motion; F-expansion method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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