The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation

Autor: Albosaily Sahar, Mohammed Wael W., Rezaiguia Ali, El-Morshedy Mahmoud, Elsayed Elsayed M.
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Open Mathematics, Vol 20, Iss 1, Pp 108-116 (2022)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0012
Popis: In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Itô sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G′G\frac{{G}^{^{\prime} }}{G}-expansion method. Furthermore, we extend some previous results where this equation has not been previously studied in the presence of multiplicative noise. Also, we show the influence of multiplicative noise on the analytical solutions of the stochastic Kuramoto-Sivashinsky equation.
Databáze: Directory of Open Access Journals