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Analyzing Soliton Solutions of the Extended (3 + 1)-Dimensional Sakovich Equation

Author

Listed:
  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia)

  • Melike Kaplan

    (Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, Kastamonu 37150, Turkey)

Abstract

This work focuses on the utilization of the generalized exponential rational function method (GERFM) to analyze wave propagation of the extended (3 + 1)-dimensional Sakovich equation. The demonstrated effectiveness and robustness of the employed method underscore its relevance to a wider spectrum of nonlinear partial differential equations (NPDEs) in physical phenomena. An examination of the physical characteristics of the generated solutions has been conducted through two- and three-dimensional graphical representations.

Suggested Citation

  • Rubayyi T. Alqahtani & Melike Kaplan, 2024. "Analyzing Soliton Solutions of the Extended (3 + 1)-Dimensional Sakovich Equation," Mathematics, MDPI, vol. 12(5), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:720-:d:1348379
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    References listed on IDEAS

    as
    1. Seadawy, Aly R. & Arshad, Muhammad & Lu, Dianchen, 2020. "The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Li Cheng & Wen-Xiu Ma, 2023. "Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations," Mathematics, MDPI, vol. 11(19), pages 1-8, September.
    3. Md Nur Alam & Onur Alp Ilhan & Jalil Manafian & Muhammad Imran Asjad & Hadi Rezazadeh & Haci Mehmet Baskonus & Jorge E. Macias-Diaz, 2022. "New Results of Some of the Conformable Models Arising in Dynamical Systems," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-13, September.
    4. Abdul-Majid Wazwaz & Ma’mon Abu Hammad & Ali O. Al-Ghamdi & Mansoor H. Alshehri & Samir A. El-Tantawy, 2023. "New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions," Mathematics, MDPI, vol. 11(15), pages 1-11, August.
    5. Khalid K. Ali & Salman A. AlQahtani & M. S. Mehanna & Abdul-Majid Wazwaz & Mubashir Qayyum, 2023. "Novel Soliton Solutions for the (3 + 1)-Dimensional Sakovich Equation Using Different Analytical Methods," Journal of Mathematics, Hindawi, vol. 2023, pages 1-15, April.
    Full references (including those not matched with items on IDEAS)

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