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

Abdul-Majid Wazwaz, Ma’mon Abu Hammad, Ali O. Al-Ghamdi, Mansoor H. Alshehri and Samir A. El-Tantawy ()
Additional contact information
Abdul-Majid Wazwaz: Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA
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

Mathematics, 2023, vol. 11, issue 15, 1-11

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.

Keywords: Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation; Painlevé test; Lax integrability; lump solutions; multiple soliton solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/15/3395/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/15/3395/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:15:p:3395-:d:1210049

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().