The Analytical Solutions of the Stochastic Fractional Kuramoto-Sivashinsky Equation by Using the Riccati Equation Method

被引：8
|
作者：
Mohammed, Wael W. [1 ,2 ]
Albalahi, A. M. [1 ]
Albadrani, S. [1 ]
Aly, E. S. [3 ]
Sidaoui, R. [1 ]
Matouk, A. E. [4 ,5 ]
机构：
[1] Univ Hail, Fac Sci, Dept Math, Hail, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Jazan Univ, Fac Sci, Math Dept, Jazan 45142, Saudi Arabia
[4] Al Zulfi Majmaah Univ, Coll Sci, Dept Math, Al Majmaah 11952, Saudi Arabia
[5] Majmaah Univ, Coll Engn, Al Majmaah 11952, Saudi Arabia
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
关键词：
SOLITARY WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION;
D O I：
10.1155/2022/5083784
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, we consider the stochastic fractional-space Kuramoto-Sivashinsky equation using conformable derivative. The Riccati equation method is used to get the analytical solutions to the space-fractional stochastic Kuramoto-Sivashinsky equation. Because this equation has never been examined with space-fractional and multiplicative noise at the same time, we generalize some previous results. Moreover, we display how the multiplicative noise influences on the stability of obtained solutions of the space-fractional stochastic Kuramoto-Sivashinsky equation.
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页数：8
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