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New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions

Author

Listed:
  • Abdul-Majid Wazwaz

    (Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA
    This legendary researcher is the leader of the group and has done most of this work.)

  • Ma’mon Abu Hammad

    (Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan)

  • Ali O. Al-Ghamdi

    (Biology Department, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University, Al-Baha 1988, Saudi Arabia)

  • Mansoor H. Alshehri

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Samir A. El-Tantawy

    (Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt)

Abstract

In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model is examined. The bilinear form is applied for investigating multiple-soliton solutions. Moreover, we employ the positive quadratic function method to create a class of lump solutions using distinct parameters values. The current study serves as a guide to explain many nonlinear phenomena that arise in numerous scientific domains, such as fluid mechanics; physics of plasmas, oceans, and seas; and so on.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3395-:d:1210049
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    References listed on IDEAS

    as
    1. Hereman, Willy & Nuseir, Ameina, 1997. "Symbolic methods to construct exact solutions of nonlinear partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 13-27.
    2. Khuri, S.A., 2008. "Exact solutions for a class of nonlinear evolution equations: A unified ansätze approach," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1181-1188.
    3. Khuri, S.A., 2005. "Soliton and periodic solutions for higher order wave equations of KdV type (I)," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 25-32.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.

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