Instability and stability properties of traveling waves for the double dispersion equation
dc.contributor.author | Erbay, Hüsnü Ata | |
dc.contributor.author | Erbay, Saadet | |
dc.contributor.author | Erkip, A. | |
dc.date.accessioned | 2016-02-17T11:05:46Z | |
dc.date.available | 2016-02-17T11:05:46Z | |
dc.date.issued | 2016-03 | |
dc.identifier.issn | 1873-5215 | |
dc.identifier.uri | http://hdl.handle.net/10679/2890 | |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0362546X15004010# | |
dc.description.abstract | In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation View the MathML source for View the MathML source, View the MathML source. The main characteristic of this equation is the existence of two sources of dispersion, characterized by the terms uxxxx and uxxtt. We obtain an explicit condition in terms of a, b and p on wave velocities ensuring that traveling wave solutions of the double dispersion equation are strongly unstable by blow up. In the special case of the Boussinesq equation (b=0), our condition reduces to the one given in the literature. For the double dispersion equation, we also investigate orbital stability of traveling waves by considering the convexity of a scalar function. We provide analytical as well as numerical results on the variation of the stability region of wave velocities with a, b and p and then state explicitly the conditions under which the traveling waves are orbitally stable. | |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | |
dc.relation.ispartof | Nonlinear Analysis: Theory, Methods & Applications | |
dc.rights | restrictedAccess | |
dc.title | Instability and stability properties of traveling waves for the double dispersion equation | en_US |
dc.type | Article | en_US |
dc.peerreviewed | yes | |
dc.publicationstatus | published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-5167-609X & YÖK ID 119316) Erbay, Hüsnü Ata | |
dc.contributor.authorID | (ORCID 0000-0002-6080-4591 & YÖK ID 119313) Erbay, Saadet | |
dc.contributor.ozuauthor | Erbay, Hüsnü Ata | |
dc.contributor.ozuauthor | Erbay, Saadet | |
dc.identifier.volume | 133 | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 14 | |
dc.identifier.wos | WOS:000369052100001 | |
dc.identifier.doi | 10.1016/j.na.2015.11.019 | |
dc.subject.keywords | Double dispersion equation | |
dc.subject.keywords | Instability by blow-up | |
dc.subject.keywords | Orbital stability | |
dc.identifier.scopus | SCOPUS:2-s2.0-84949595659 | |
dc.contributor.authorMale | 1 | |
dc.contributor.authorFemale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |
This item appears in the following Collection(s)
Share this page