Comparison of nonlocal nonlinear wave equations in the long-wave limit
dc.contributor.author | Erbay, Hüsnü Ata | |
dc.contributor.author | Erbay, Saadet | |
dc.contributor.author | Erkip, A. | |
dc.date.accessioned | 2020-10-22T06:58:13Z | |
dc.date.available | 2020-10-22T06:58:13Z | |
dc.date.issued | 2020-11-17 | |
dc.identifier.issn | 0003-6811 | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/7035 | |
dc.identifier.uri | https://www.tandfonline.com/doi/abs/10.1080/00036811.2019.1577393 | |
dc.description.abstract | We 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.iso | eng | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.relation.ispartof | Applicable Analysis | |
dc.rights | restrictedAccess | |
dc.title | Comparison of nonlocal nonlinear wave equations in the long-wave limit | en_US |
dc.type | Article | en_US |
dc.peerreviewed | yes | en_US |
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 | 99 | en_US |
dc.identifier.issue | 15 | en_US |
dc.identifier.startpage | 2668 | en_US |
dc.identifier.endpage | 2677 | en_US |
dc.identifier.wos | WOS:000576904400008 | |
dc.identifier.doi | 10.1080/00036811.2019.1577393 | en_US |
dc.subject.keywords | Approximation | en_US |
dc.subject.keywords | Nonlocal wave equation | en_US |
dc.subject.keywords | Improved Boussinesq equation | en_US |
dc.subject.keywords | Long-wave limit | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85061605408 | |
dc.contributor.authorMale | 1 | |
dc.contributor.authorFemale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institution Academic Staff |
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