Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion

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 solut...

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Main Authors: Haixia Zhao, Lijing Qiao, Shengqiang Tang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/934987
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author Haixia Zhao
Lijing Qiao
Shengqiang Tang
author_facet Haixia Zhao
Lijing Qiao
Shengqiang Tang
author_sort Haixia Zhao
collection DOAJ
description 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.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-b9e9d87d81c64267ae57cf4ff5cc484f2025-02-03T01:32:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/934987934987Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear DispersionHaixia Zhao0Lijing Qiao1Shengqiang Tang2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaWe 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.http://dx.doi.org/10.1155/2014/934987
spellingShingle Haixia Zhao
Lijing Qiao
Shengqiang Tang
Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
Abstract and Applied Analysis
title Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
title_full Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
title_fullStr Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
title_full_unstemmed Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
title_short Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
title_sort peakon cuspon compacton and loop solutions of a three dimensional 3dkp 3 2 equation with nonlinear dispersion
url http://dx.doi.org/10.1155/2014/934987
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