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The Analytical Solutions for the Stochastic-Fractional Broer–Kaup Equations

Author

Listed:
  • Saleh Alshammari
  • W. W. Mohammed
  • Sallieu K. Samura
  • S. Faleh
  • Amr Elsonbaty

Abstract

We take into account here the stochastic-fractional Broer–Kaup equations (SFBKEs) perturbed by the multiplicative Wiener process. To get rational, hyperbolic, and elliptic stochastic solutions for SBKEs, we utilize the Jacobi elliptic function method. The derived solutions are significantly more useful and effective in comprehending various important challenging physical phenomena due to the important of SFBKEs in describing the propagation of shallow water waves. Also, we use the MATLAB Package to create 2D and 3D graphs for certain solutions of SFBKEs in order to discuss the impact of fractional order and the Wiener process on the solutions of SFBKEs.

Suggested Citation

  • Saleh Alshammari & W. W. Mohammed & Sallieu K. Samura & S. Faleh & Amr Elsonbaty, 2022. "The Analytical Solutions for the Stochastic-Fractional Broer–Kaup Equations," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-9, August.
    • Handle: RePEc:hin:jnlmpe:6895875
    DOI: 10.1155/2022/6895875
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    Cited by:

    1. Tahira Sumbal Shaikh & Muhammad Zafarullah Baber & Nauman Ahmed & Naveed Shahid & Ali Akgül & Manuel De la Sen, 2023. "On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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