Journal
WAVE MOTION
Volume 103, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.wavemoti.2021.102719
Keywords
N-soliton solution; Hirota N-soliton condition; The B-type Kadomtsev-Petviashvili equation
Categories
Funding
- National Natural Science Foundation of China [11975145, 11972291, 72071076]
- Beijing Natural Science Foundation, China [Z200001]
- 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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