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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorErbay, Saadet
dc.contributor.authorErkip, A.
dc.date.accessioned2015-10-22T08:57:53Z
dc.date.available2015-10-22T08:57:53Z
dc.date.issued2015-05-01
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10679/939
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0022247X14011615
dc.description.abstractIn this article we are concerned with the existence and orbital stability of traveling wave solutions of a general class of nonlocal wave equations: utt−Luxx=B(±|u|p−1u)xx, p>1. The main characteristic of this class of equations is the existence of two sources of dispersion, characterized by two coercive pseudo-differential operators L and B . Members of the class arise as mathematical models for the propagation of dispersive waves in a wide variety of situations. For instance, all Boussinesq-type equations and the so-called double-dispersion equation are members of the class. We first establish the existence of traveling wave solutions to the nonlocal wave equations considered. We then obtain results on the orbital stability or instability of traveling waves. For the case L=I, corresponding to a class of Klein–Gordon-type equations, we give an almost complete characterization of the values of the wave velocity for which the traveling waves are orbitally stable or unstable by blow-up.en_US
dc.description.sponsorshipTÜBİTAK
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relationinfo:turkey/grantAgreement/TUBITAK/110R002en_US
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.rightsrestrictedAccess
dc.titleExistence and stability of traveling waves for a class of nonlocal nonlinear equationsen_US
dc.typeArticleen_US
dc.peerreviewedyesen_US
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.volume425
dc.identifier.issue1
dc.identifier.startpage307
dc.identifier.endpage336
dc.identifier.wosWOS:000348625000019
dc.identifier.doi10.1016/j.jmaa.2014.12.039
dc.subject.keywordsSolitary wavesen_US
dc.subject.keywordsOrbital stabilityen_US
dc.subject.keywordsBoussinesq equationen_US
dc.subject.keywordsDouble dispersion equationen_US
dc.subject.keywordsConcentration-compactnessen_US
dc.subject.keywordsKlein–Gordon equationen_US
dc.identifier.scopusSCOPUS:2-s2.0-84920904113
dc.contributor.authorMale1
dc.contributor.authorFemale1
dc.relation.publicationcategoryArticle - International Refereed Journal - Institutional Academic Staff


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