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

被引：8

作者：

Albosaily, Sahar ^{[1
]}

Mohammed, Wael W. ^{[1
,2
]}

Rezaiguia, Ali ^{[1
,3
]}

El-Morshedy, Mahmoud ^{[4
]}

Elsayed, Elsayed M. ^{[5
]}

机构：

[1] Univ Hail, Dept Math, Fac Sci, Hail 1440, Saudi Arabia

[2] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt

[3] Mouhamed Cherif Messadia Univ, Dept Comp Sci & Math, Souk Ahras, Algeria

[4] Prince Sattam bin Abdulaziz Univ, Coll Sci & Human Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia

来源：

OPEN MATHEMATICS | 2022年 / 20卷 / 01期

关键词：

stochastic Kuramoto-Sivashinsky; multiplicative noise; stochastic exact solutions; (G/G)-expansion method; SOLITARY WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; TANH METHOD; PERIODIC-SOLUTIONS;

D O I：

10.1515/math-2022-0012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：108 / 116

页数：9

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