On the Dynamics of Solitary Waves to a (3+1)-Dimensional Stochastic Boiti–Leon–Manna–Pempinelli Model in Incompressible Fluid

Wael W. Mohammed (), Farah M. Al-Askar, Clemente Cesarano and M. El-Morshedy
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Wael W. Mohammed: Department of Mathematics, Collage 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, 00186 Roma, Italy
M. El-Morshedy: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2023, vol. 11, issue 10, 1-9

Abstract: We take into account the stochastic Boiti–Leon–Manna–Pempinelli equation (SBLMPE), which is perturbed by a multiplicative Brownian motion. By applying He’s semi-inverse method and the Riccati equation mapping method, we can acquire the solutions of the SBLMPE. Since the Boiti–Leon–Manna–Pempinelli equation is utilized to explain incompressible liquid in fluid mechanics, the acquired solutions may be applied to explain a lot of fascinating physical phenomena. To address how Brownian motion effects the exact solutions of the SBLMPE, we present some 2D and 3D diagrams.

Keywords: stochastic Boiti–Leon–Manna–Pempinelli equation; Riccati equation mapping method; analytical stochastic solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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