4.5 Article

Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations

期刊

WAVE MOTION
卷 103, 期 -, 页码 -

出版社

ELSEVIER
DOI: 10.1016/j.wavemoti.2021.102719

关键词

N-soliton solution; Hirota N-soliton condition; The B-type Kadomtsev-Petviashvili equation

资金

  1. National Natural Science Foundation of China [11975145, 11972291, 72071076]
  2. Beijing Natural Science Foundation, China [Z200001]
  3. Fundamental Research Funds of the Central Universities, China [2019MS050, 2020MS043]

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In this study, soliton solutions for the B-type Kadomtsev-Petviashvili equation are analyzed and the Hirota N-soliton condition is verified within the Hirota bilinear formulation. A weight number is used in an algorithm to check the Hirota condition while transforming the Hirota function in N wave vectors to a homogeneous polynomial. Soliton solutions are presented under general dispersion relations.
We analyze soliton solutions and verify the Hirota N-soliton condition for the B-type Kadomtsev-Petviashvili equation, within the Hirota bilinear formulation. A weight number is used in an algorithm to check the Hirota condition while transforming the Hirota function in N wave vectors to a homogeneous polynomial. Soliton solutions are presented under general dispersion relations. (C) 2021 Elsevier B.V. All rights reserved.

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