The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using ( G ? G )-Expansion Method

Wael W. Mohammed, Meshari Alesemi, Sahar Albosaily, Naveed Iqbal and M. El-Morshedy
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Wael W. Mohammed: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Meshari Alesemi: Department of Mathematics, Faculty of Science, University of Bisha, Bisha 61922, Saudi Arabia
Sahar Albosaily: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Naveed Iqbal: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
M. El-Morshedy: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2021, vol. 9, issue 21, 1-10

Abstract: In this paper, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation forced by multiplicative noise. To obtain the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation, we apply the G ? G -expansion method. Furthermore, we generalize some previous results that did not use this equation with multiplicative noise and fractional space. Additionally, we show the influence of the stochastic term on the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation.

Keywords: stochastic Kuramoto–Sivashinsky; fractional Kuramoto–Sivashinsky; exact stochastic-fractional solutions; \({(\frac{G^{\prime }}{G})}\)-expansion method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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