Mathematics (Oct 2021)

The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method

  • Wael W. Mohammed,
  • Meshari Alesemi,
  • Sahar Albosaily,
  • Naveed Iqbal,
  • M. El-Morshedy

DOI
https://doi.org/10.3390/math9212712
Journal volume & issue
Vol. 9, no. 21
p. 2712

Abstract

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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