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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorErbay, Saadet
dc.contributor.authorErkip, A.
dc.date.accessioned2015-10-26T13:35:24Z
dc.date.available2015-10-26T13:35:24Z
dc.date.issued2015
dc.identifier.urihttp://hdl.handle.net/10679/975
dc.identifier.urihttp://www.kirj.ee/26179/?tpl=1061&c_tpl=1064
dc.description.abstractIn this article we give a review of our recent results on the instability and stability properties of travelling wave solutions of the double dispersion equation utt − uxx + auxxxx − buxxtt = −(|u|p−1u)xx for p > 1, a ≥ b > 0. After a brief reminder of the general class of nonlocal wave equations to which the double dispersion equation belongs, we summarize our findings for both the existence and orbital stability/instability of travelling wave solutions to the general class of nonlocal wave equations. We then state (i) the conditions under which travelling wave solutions of the double dispersion equation are unstable by blow-up and (ii) the conditions under which the travelling waves are orbitally stable. We plot the instability/stability regions in the plane defined by wave velocity and the quotient b/a for various values of p.en_US
dc.language.isoengen_US
dc.publisherEstonian Academy of Sciencesen_US
dc.relation.ispartofProceedings of the Estonian Academy of Sciences
dc.rightsopenAccess
dc.titleSome remarks on the stability and instability properties of solitary waves for the double dispersion equationen_US
dc.typeConference paperen_US
dc.description.versionpublisher version
dc.peerreviewedyesen_US
dc.publicationstatuspublisheden_US
dc.contributor.departmentÖzyeğin University
dc.contributor.authorID119316
dc.contributor.authorID119313
dc.contributor.ozuauthorErbay, Hüsnü Ata
dc.contributor.ozuauthorErbay, Saadet
dc.identifier.volume64
dc.identifier.issue3
dc.identifier.startpage263
dc.identifier.endpage269
dc.identifier.wosWOS:000360140700010
dc.identifier.doi10.3176/proc.2015.3.09
dc.subject.keywordsDouble dispersion equationen_US
dc.subject.keywordsBoussinesq equationen_US
dc.subject.keywordsSolitary wavesen_US
dc.subject.keywordsInstability by blow-upen_US
dc.subject.keywordsOrbital stabilityen_US
dc.subject.keywordsTravelling wavesen_US
dc.identifier.scopusSCOPUS:2-s2.0-84939511087
dc.contributor.authorMale1
dc.contributor.authorFemale1


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