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Solitary Wave Solution of a Generalized Fractional–Stochastic Nonlinear Wave Equation for a Liquid with Gas Bubbles.

Authors :
Mohammed, Wael W.
Al-Askar, Farah M.
Cesarano, Clemente
El-Morshedy, Mahmoud
Source :
Mathematics (2227-7390); Apr2023, Vol. 11 Issue 7, p1692, 14p
Publication Year :
2023

Abstract

In the sense of a conformable fractional operator, we consider a generalized fractional–stochastic nonlinear wave equation (GFSNWE). This equation may be used to depict several nonlinear physical phenomena occurring in a liquid containing gas bubbles. The analytical solutions of the GFSNWE are obtained by using the F-expansion and the Jacobi elliptic function methods with the Riccati equation. Due to the presence of noise and the conformable derivative, some solutions that were achieved are shown together with their physical interpretations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
7
Database :
Complementary Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
163043042
Full Text :
https://doi.org/10.3390/math11071692