Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:35Z
dc.date.available2015-01-15T23:01:35Z
dc.date.issued2010-09
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThis work was partially supported by the Turkish Academy of Sciences (TUBA)en_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 non-linear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as a variable-coefficient Korteweg-de Vries (KdV) equation. A progressive wave type of solution, which satisfies the evolution equation in the integral sense but not point by point, is presented. The resulting solution is numerically evaluated for two selected bottom profile functions, and it is observed that the wave amplitude increases but the band width of the solitary wave decreases with increasing undulation of the bottom profile.en_US
dc.description.sponsorshipTurkish Academy of Sciencesen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2010). Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg–de vries equation. Computers and Mathematics with Applications, 60(6), 1747-1755. doi:10.1016/j.camwa.2010.07.005en_US
dc.identifier.doi10.1016/j.camwa.2010.07.005
dc.identifier.endpage1755
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.issue6
dc.identifier.scopus2-s2.0-78049424079
dc.identifier.scopusqualityQ1
dc.identifier.startpage1747
dc.identifier.urihttps://hdl.handle.net/11729/361
dc.identifier.urihttp://dx.doi.org/10.1016/j.camwa.2010.07.005
dc.identifier.volume60
dc.identifier.wosWOS:000281979800020
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers and Mathematics with Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectChannel of variable depthen_US
dc.subjectSolitary waveen_US
dc.subjectShelfen_US
dc.subjectBeachen_US
dc.subjectEvolution equationsen_US
dc.subjectIncompressible inviscid fluidsen_US
dc.subjectKorteweg-de Vries equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectProfile functionsen_US
dc.subjectProgressive wavesen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectTwo-dimensional equationsen_US
dc.subjectVariable depthen_US
dc.subjectWave amplitudesen_US
dc.subjectPerturbation techniquesen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.titleWeakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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