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

Sahar Albosaily; Wael W. Mohammed; Ali Rezaiguia; Mahmoud El-Morshedy; Elsayed M. Elsayed

doi:10.1515/math-2022-0012

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

Sahar Albosaily
, Wael W. Mohammed
, Ali Rezaiguia
, Mahmoud El-Morshedy
, Elsayed M. Elsayed

Mathematics

University of Hail
Mansoura University
University of Souk Ahras Mohamed Chérif Messaadia
King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Ito sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G ′ 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.

Original language	English
Pages (from-to)	108-116
Number of pages	9
Journal	Open Mathematics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1515/math-2022-0012
State	Published - 1 Jan 2022

Keywords

(G′/G)-expansion method
multiplicative noise
stochastic exact solutions
stochastic Kuramoto-Sivashinsky

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10.1515/math-2022-0012

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title = "The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation",

abstract = "In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Ito sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G ′ 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.",

keywords = "(G′/G)-expansion method, multiplicative noise, stochastic exact solutions, stochastic Kuramoto-Sivashinsky",

author = "Sahar Albosaily and Mohammed, \{Wael W.\} and Ali Rezaiguia and Mahmoud El-Morshedy and Elsayed, \{Elsayed M.\}",

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T1 - The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation

AU - Albosaily, Sahar

AU - Mohammed, Wael W.

AU - Rezaiguia, Ali

AU - El-Morshedy, Mahmoud

AU - Elsayed, Elsayed M.

PY - 2022/1/1

Y1 - 2022/1/1

N2 - In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Ito sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G ′ 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.

AB - In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Ito sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G ′ 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.

KW - (G′/G)-expansion method

KW - multiplicative noise

KW - stochastic exact solutions

KW - stochastic Kuramoto-Sivashinsky

UR - https://www.scopus.com/pages/publications/85127509658

U2 - 10.1515/math-2022-0012

DO - 10.1515/math-2022-0012

M3 - Article

AN - SCOPUS:85127509658

SN - 1895-1074

VL - 20

SP - 108

EP - 116

JO - Open Mathematics

JF - Open Mathematics

IS - 1

ER -

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

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Keywords

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