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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorErbay, Saadet
dc.contributor.authorErkip, A.
dc.date.accessioned2020-10-22T06:58:13Z
dc.date.available2020-10-22T06:58:13Z
dc.date.issued2020-11-17
dc.identifier.issn0003-6811en_US
dc.identifier.urihttp://hdl.handle.net/10679/7035
dc.identifier.urihttps://www.tandfonline.com/doi/abs/10.1080/00036811.2019.1577393
dc.description.abstractWe consider a general class of convolution-type nonlocal wave equations modeling bidirectional nonlinear wave propagation. The model involves two small positive parameters measuring the relative strengths of the nonlinear and dispersive effects. We take two different kernel functions that have similar dispersive characteristics in the long-wave limit and compare the corresponding solutions of the Cauchy problems with the same initial data. We prove rigorously that the difference between the two solutions remains small over a long time interval in a suitable Sobolev norm. In particular, our results show that, in the long-wave limit, solutions of such nonlocal equations can be well approximated by those of improved Boussinesq-type equations.en_US
dc.language.isoengen_US
dc.publisherTaylor & Francisen_US
dc.relation.ispartofApplicable Analysis
dc.rightsrestrictedAccess
dc.titleComparison of nonlocal nonlinear wave equations in the long-wave limiten_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.volume99en_US
dc.identifier.issue15en_US
dc.identifier.startpage2668en_US
dc.identifier.endpage2677en_US
dc.identifier.wosWOS:000576904400008
dc.identifier.doi10.1080/00036811.2019.1577393en_US
dc.subject.keywordsApproximationen_US
dc.subject.keywordsNonlocal wave equationen_US
dc.subject.keywordsImproved Boussinesq equationen_US
dc.subject.keywordsLong-wave limiten_US
dc.identifier.scopusSCOPUS:2-s2.0-85061605408
dc.contributor.authorMale1
dc.contributor.authorFemale1
dc.relation.publicationcategoryArticle - International Refereed Journal - Institution Academic Staff


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