On the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili system in two-layer shallow water
Conghui Li,
Chuanzhong Li,
Gang Wang and
Wei Liu
Chaos, Solitons & Fractals, 2024, vol. 181, issue C
Abstract:
In this paper, the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili (MKP) equation are studied. Based on the tau-functions and Grassmannian Gr(N,M), we present and study the coupled modified Kadomtsev–Petviashvili equation and its coupled soliton solutions v and vˆ which can describe two layers shallow water. By giving examples and theoretical analysis, we give a general classification of the structures of coupled soliton solutions v and vˆ. At the same time, we describe the solutions v, vˆ by Le-diagram, chord diagram and analyze the influence of parameter ϵ on the solutions v, vˆ.
Keywords: Coupled modified KP equation; Coupled soliton solution; Tau-function; Grassmannian manifold; Le-diagram; Chord diagram (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002868
DOI: 10.1016/j.chaos.2024.114734
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