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

Author:

Wazwaz Abdul-Majid1ORCID,Abu Hammad Ma’mon2,Al-Ghamdi Ali O.3,Alshehri Mansoor H.4ORCID,El-Tantawy Samir A.5ORCID

Affiliation:

1. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA

2. Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan

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

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

5. 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.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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