New Analytical Solution for Nonlinear Shallow Water-Wave Equations

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dc.authoridAydin, Baran/0000-0001-7838-3708
dc.authorid, Utku/0000-0002-5952-0954
dc.contributor.authorAydin, Baran
dc.contributor.authorKanoglu, Utku
dc.date.accessioned2025-01-06T17:44:39Z
dc.date.available2025-01-06T17:44:39Z
dc.date.issued2017
dc.description.abstractWe solve the nonlinear shallow water-wave equations over a linearly sloping beach as an initial-boundary value problem under general initial conditions, i.e., an initial wave profile with and without initial velocity. The methodology presented here is extremely simple and allows a solution in terms of eigenfunction expansion, avoiding integral transform techniques, which sometimes result in singular integrals. We estimate parameters, such as the temporal variations of the shoreline position and the depth-averaged velocity, compare with existing solutions, and observe perfect agreement with substantially less computational effort.
dc.description.sponsorshipMiddle East Technical University [BAP-08-11-DPT2002K120510]; Scientific and Technological Research Council of Turkey project of the joint research program between Turkey and Greece [109Y387]; ASTARTE (Assessment, STrategy And Risk Reduction for Tsunamis in Europe), 7th FP [603839, ENV.2013.6.4-3]
dc.description.sponsorshipThis work is partially supported through the grant provided by Middle East Technical University with the project no: BAP-08-11-DPT2002K120510. We acknowledge the partial support from the Scientific and Technological Research Council of Turkey project no. 109Y387 of the joint research program between Turkey and Greece. This contribution was also partially supported by the project ASTARTE (Assessment, STrategy And Risk Reduction for Tsunamis in Europe), Grant 603839, 7th FP (ENV.2013.6.4-3).
dc.identifier.doi10.1007/s00024-017-1508-z
dc.identifier.endpage3218
dc.identifier.issn0033-4553
dc.identifier.issn1420-9136
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85027117886
dc.identifier.scopusqualityQ2
dc.identifier.startpage3209
dc.identifier.urihttps://doi.org/10.1007/s00024-017-1508-z
dc.identifier.urihttps://hdl.handle.net/20.500.14669/3141
dc.identifier.volume174
dc.identifier.wosWOS:000407397400017
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofPure and Applied Geophysics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectTsunami
dc.subjectlong wave
dc.subjectrunup
dc.subjectshallow water-wave
dc.titleNew Analytical Solution for Nonlinear Shallow Water-Wave Equations
dc.typeArticle

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