A note on the wave propagation in water of variable depth

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:51Z
dc.date.available2015-01-15T23:01:51Z
dc.date.issued2011-11-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn the present work, utilizing the two dimensional equations of an incompressible inviscid fluid and the reductive perturbation method we studied the propagation of weakly nonlinear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as the variable coefficient Korteweg-de Vries (KdV) equation. Due to the difficulties for the analytical solutions, a numerical technics so called "the method of integrating factor" is used and the evolution equation is solved under a given initial condition and the bottom topography. It is observed the parameters of bottom topography causes to the changes in wave amplitude, wave profile and the wave speed.en_US
dc.description.sponsorshipThis work was partially supported by the Turkish Academy of Sciences (TUBA)en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2011). A note on the wave propagation in water of variable depth. Applied Mathematics and Computation, 218(5), 2294-2299. doi:10.1016/j.amc.2011.07.049en_US
dc.identifier.doi10.1016/j.amc.2011.07.049
dc.identifier.endpage2299
dc.identifier.issn0096-3003
dc.identifier.issue5
dc.identifier.scopus2-s2.0-80052264268
dc.identifier.scopusqualityQ1
dc.identifier.startpage2294
dc.identifier.urihttps://hdl.handle.net/11729/404
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2011.07.049
dc.identifier.volume218
dc.identifier.wosWOS:000294300800077
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectWater of variable depthen_US
dc.subjectVariable coefficient KdV equationen_US
dc.subjectShallow-wateren_US
dc.subjectAnalytical solutionsen_US
dc.subjectBottom topographyen_US
dc.subjectEvolution equationsen_US
dc.subjectIncompressible inviscid fluidsen_US
dc.subjectInitial conditionsen_US
dc.subjectIntegrating factoren_US
dc.subjectKorteweg-de Vries equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectTwo-dimensional equationsen_US
dc.subjectVariable coefficientsen_US
dc.subjectVariable depthen_US
dc.subjectWave amplitudesen_US
dc.subjectWave profilesen_US
dc.subjectWave speeden_US
dc.subjectNumerical methodsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectSolitonsen_US
dc.subjectWave propagationen_US
dc.subjectNonlinear equationsen_US
dc.subjectWater wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.titleA note on the wave propagation in water of variable depthen_US
dc.typeArticleen_US
dspace.entity.typePublication

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