Peakon, solitary and smooth periodic wave solutions for a modification of the \(K(2,2)\) equation
type: Item
instance of: scholarly article
title: Peakon, solitary and smooth periodic wave solutions for a modification of the \(K(2,2)\) equation
zbMATH Open document ID: 1406.35321
DOI: 10.1155/2014/130520
author: Qing Meng
author: Bin He
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: We consider a modification of the \(K(2,2)\) equation \(u_t=2uu_{xxx}+2ku_xu_{xx}+2uu_x\) using the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, some peakons, solitary, and smooth periodic waves are found and their exact parametric representations are presented. Also, the coexistence of peakon and solitary wave solutions is investigated.
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7010548
Wikidata QID: Q59049491
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/130520
OpenAlex ID: W2029574063
DBLP publication ID: journals/jam/MengH14
description: scientific article; zbMATH DE number 7010548