N-soliton, M-breather and hybrid solutions of a time-dependent Kadomtsev–Petviashvili equation

Jianping Wu

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 194, issue C, 89-96

Abstract: In this paper, the Hirota bilinear method for the standard Kadomtsev–Petviashvili (KP) equation is extended to a recently proposed time-dependent KP equation. Firstly, general N-soliton solutions of this equation are derived by introducing a new property of the bilinear operator. Secondly, imposing parameter constraints in the N-soliton solutions, M-breather solutions and hybrid ones composed of solitons and breathers are constructed, respectively. Thirdly, by choosing proper time-dependent coefficients, some figures are given to shed light on the dynamic properties of the obtained solutions. These results show that the time-dependent coefficients can bring many different dynamic behaviors, which theoretically indicates that the time-dependent KP equation might be physically important to describe certain phenomena in the nature.

Keywords: Hirota bilinear method; Time-dependent Kadomtsev–Petviashvili equation; N-soliton solutions; M-breather solutions; Hybrid solutions (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:194:y:2022:i:c:p:89-96

DOI: 10.1016/j.matcom.2021.10.025

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