Investigation of more solitary waves solutions of the stochastics Benjamin-Bona-Mahony equation under beta operator

Investigation of more solitary waves solutions of the stochastics Benjamin-Bona-Mahony equation under beta operator

This study explores the stochastic Benjamin-Bona-Mahony (BBM) equation with a beta derivative (BD), thereby incorporating multiplicative noise in the Itô sense. We derive various analytical soliton solutions for these equations utilizing two distinct expansion methods: the $ \frac{\mathcal{G}^{\prim...

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Bibliographic Details
Main Authors: Abdelkader Moumen, Khaled A. Aldwoah, Muntasir Suhail, Alwaleed Kamel, Hicham Saber, Manel Hleili, Sayed Saifullah
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:AIMS Mathematics
Subjects:
benjamin-bona-mahony equation
fractional derivatives
$ \frac{\mathcal{g}^{\prime}}{\mathcal{g}^{\prime}+\mathcal{g}+\mathcal{a}} $-expansion method
modified $ \frac{\mathcal{g}^{\prime}}{\mathcal{g}^{2}} $-expansion strategy
partial differential equations
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241331?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241331?viewType=HTML

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