Bounded traveling wave solutions and their relations for the generalized HD type equation
type: Item
instance of: scholarly article
title: Bounded traveling wave solutions and their relations for the generalized HD type equation
zbMATH Open document ID: 1378.37118
DOI: 10.1155/2016/5383527
author: Qing Meng
author: Bin He
published in: Discrete Dynamics in Nature and Society
publication date: 2017-11-13T00:00:00Z
review text: Summary: The generalized HD type equation is studied by using the bifurcation method of dynamical systems. From a dynamic point of view, the existence of different kinds of traveling waves which include periodic loop soliton, periodic cusp wave, smooth periodic wave, loop soliton, cuspon, smooth solitary wave, and kink-like wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, all possible exact parametric representations of the bounded waves are presented and their relations are stated.
Mathematics Subject Classification ID: 37K50
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 6806263
zbMATH Keywords: bifurcation
zbMATH Keywords: traveling wave
zbMATH Keywords: solitary wave
Wikidata QID: Q59123552
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5383527
OpenAlex ID: W2513700275
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description: scientific article; zbMATH DE number 6806263