A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves

Yu-Lan Ma, Abdul-Majid Wazwaz and Bang-Qing Li

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 505-519

Abstract: In this paper, a new (3+1)-dimensional integrable Kadomtsev–Petviashvili equation is developed. Its integrability is verified by the Painlevé analysis. The bilinear form, multiple-soliton, breather and lump solutions are obtained via using the Hirota bilinear method, a symbolic computation scheme. Furthermore, the abundant dynamical behaviors for these solutions are discovered. It is interesting that there are splitting and fusing phenomena when the lump waves interact. The results can well simulate complex waves and their interaction dynamics in fluids.

Keywords: New (3+1)-dimensional Kadomtsev–Petviashvili equation; Integrability; Bilinear method; Soliton; Breather; Lump (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:505-519

DOI: 10.1016/j.matcom.2021.03.012

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