The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation-Reference-Cited by-同舟云学术

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

Published:2022-01-01 Issue:1 Volume:20 Page:108-116
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Albosaily Sahar¹,Mohammed Wael W.¹²,Rezaiguia Ali¹³,El-Morshedy Mahmoud⁴,Elsayed Elsayed M.⁵

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Ha’il , Ha’il 1440 , Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University , Mansoura 35516 , Egypt

3. Department of Computer Science and Mathematics, Mouhamed Cherif Messadia University , Souk Ahras , Algeria

4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University , Al-Kharj 11942 , Saudi Arabia

5. Mathematics Department, Faculty of Science, King Abdulaziz University , Jeddah , Saudi Arabia

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0012/pdf

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