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

Author

Listed:
  • Wael W. Mohammed

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • 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
    Department of Mathematics and Statistics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

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.

Suggested Citation

  • Wael W. Mohammed & Meshari Alesemi & Sahar Albosaily & Naveed Iqbal & M. El-Morshedy, 2021. "The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using ( G ′ G )-Expansion Method," Mathematics, MDPI, vol. 9(21), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2712-:d:664727
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    References listed on IDEAS

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    1. Raberto, Marco & Scalas, Enrico & Mainardi, Francesco, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 749-755.
    2. Iqbal, Naveed & Wu, Ranchao & Mohammed, Wael W., 2021. "Pattern formation induced by fractional cross-diffusion in a 3-species food chain model with harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 102-119.
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    Cited by:

    1. Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Shohib, Reham M.A., 2023. "Cubic-quartic embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô calculus," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Shohib, Reham M.A. & Biswas, Anjan & Yıldırım, Yakup & Moraru, Luminita & Mereuta, Elena & Alshehri, Hashim M., 2022. "Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô Calculus," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Simon, S. Gimnitz & Bira, B. & Zeidan, Dia, 2023. "Optimal systems, series solutions and conservation laws for a time fractional cancer tumor model," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Wael W. Mohammed & Farah M. Al-Askar & Clemente Cesarano & M. El-Morshedy, 2022. "The Optical Solutions of the Stochastic Fractional Kundu–Mukherjee–Naskar Model by Two Different Methods," Mathematics, MDPI, vol. 10(9), pages 1-10, April.

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