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On the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili system in two-layer shallow water

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  • Li, Conghui
  • Li, Chuanzhong
  • Wang, Gang
  • Liu, Wei

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.

Suggested Citation

  • Li, Conghui & Li, Chuanzhong & Wang, Gang & Liu, Wei, 2024. "On the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili system in two-layer shallow water," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002868
    DOI: 10.1016/j.chaos.2024.114734
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    References listed on IDEAS

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    1. Shen, Yuan & Tian, Bo & Zhou, Tian-Yu & Cheng, Chong-Dong, 2023. "Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
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