Peakon, cuspon, compacton, and loop solutions of a three-dimensional 3DKP\((3,2)\) equation with nonlinear dispersion
type: Item
instance of: scholarly article
title: Peakon, cuspon, compacton, and loop solutions of a three-dimensional 3DKP\((3,2)\) equation with nonlinear dispersion
zbMATH Open document ID: 1468.35179
DOI: 10.1155/2014/934987
author: Haixia Zhao
author: Lijing Qiao
author: Shengqiang Tang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP\((3,2)\) equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP\((3,2)\) equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. As a result, the conditions under which peakon, cuspon, compacton, and loop solutions appear are also given.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7023345
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/934987
OpenAlex ID: W2088454080
Wikidata QID: Q59042951
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description: scientific article; zbMATH DE number 7023345