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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorErbay, Saadet
dc.contributor.authorErkip, A.
dc.date.accessioned2016-02-17T11:05:46Z
dc.date.available2016-02-17T11:05:46Z
dc.date.issued2016-03
dc.identifier.issn1873-5215
dc.identifier.urihttp://hdl.handle.net/10679/2890
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0362546X15004010#
dc.description.abstractIn 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.isoengen_US
dc.publisherElsevier
dc.relation.ispartofNonlinear Analysis: Theory, Methods & Applications
dc.rightsrestrictedAccess
dc.titleInstability and stability properties of traveling waves for the double dispersion equationen_US
dc.typeArticleen_US
dc.peerreviewedyes
dc.publicationstatuspublisheden_US
dc.contributor.departmentÖzyeğin 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.ozuauthorErbay, Hüsnü Ata
dc.contributor.ozuauthorErbay, Saadet
dc.identifier.volume133
dc.identifier.startpage1
dc.identifier.endpage14
dc.identifier.wosWOS:000369052100001
dc.identifier.doi10.1016/j.na.2015.11.019
dc.subject.keywordsDouble dispersion equation
dc.subject.keywordsInstability by blow-up
dc.subject.keywordsOrbital stability
dc.identifier.scopusSCOPUS:2-s2.0-84949595659
dc.contributor.authorMale1
dc.contributor.authorFemale1
dc.relation.publicationcategoryArticle - International Refereed Journal - Institutional Academic Staff


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