THERMAL SCIENCE

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Esma Ulutas

,

Mustafa Inc

,

Dumitru Baleanu

EXACT SOLUTIONS OF STOCHASTIC KDV EQUATION WITH CONFORMABLE DERIVATIVES IN WHITE NOISE ENVIRONMENT

ABSTRACT
In this article, we have considered Wick-type stochastic Korteweg de Vries (KdV) equation with conformable derivatives. By the help of white noise analysis, Hermit transform and extended G′/G- expansion method, we have obtained exact travelling wave solutions of KdV equation with conformable derivatives. We have applied the inverse Hermit transform for stochastic soliton solutions and then we have shown how stochastic solutions can be presented as Brownian motion functional solutions by an application example.
KEYWORDS
stochastic KdV equation, Wick product, conformable derivative, Hermit transforms, extended G′/G-expansion method
PAPER SUBMITTED: 2021-01-21
PAPER REVISED: 2021-02-15
PAPER ACCEPTED: 2021-02-17
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2143U
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [143 - 149]
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Exact solutions of stochastic KdV equation with conformable derivatives in white noise environment

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence