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dc.contributor.authorArtiles, W. [UNESP]
dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManna, M. A.
dc.date.accessioned2014-05-20T14:09:16Z
dc.date.available2014-05-20T14:09:16Z
dc.date.issued2009-08-15
dc.identifierhttp://dx.doi.org/10.1016/j.physd.2009.06.015
dc.identifier.citationPhysica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 238, n. 17, p. 1821-1825, 2009.
dc.identifier.issn0167-2789
dc.identifier.urihttp://hdl.handle.net/11449/24131
dc.description.abstractWe address the question of determining the evolution equation for surface waves propagating in water whose depth is much larger than the typical wavelength of the surface disturbance. We avoid making the usual approximation of supposing the evolution to be given in the form of a modulated wave-packet. We treat the problem by means of a conformal transformation allowing to explicitly find the Dirichlet-to-Neumann operator for the problem together with asymptotic expansions in parameters measuring the nonlinearity and depth. This allows us to obtain an equation in physical variables valid in the weakly nonlinear, deep-water regime. The equation is an integro-differential equation, which reduces to known cases for infinite depth. We discuss solutions in a perturbative setting and show that the evolution equation describes Stokes-like waves. (C) 2009 Elsevier B.V. All rights reserved.en
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCentre national de la recherche scientifique (CNRS)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent1821-1825
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofPhysica D: Nonlinear Phenomena
dc.sourceWeb of Science
dc.subjectWater-wavesen
dc.subjectDeep-water asymptoticsen
dc.subjectConformal mappingen
dc.subjectStokes wavesen
dc.titleEvolution equation for short surface waves on water of finite depthen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversité Montpellier 2
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, Univ Estadual Paulista, BR-01140070 São Paulo, Brazil
dc.description.affiliationUniv Montpellier 2, CNRS, UMR5207, F-34095 Montpellier 05, France
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, Univ Estadual Paulista, BR-01140070 São Paulo, Brazil
dc.identifier.doi10.1016/j.physd.2009.06.015
dc.identifier.wosWOS:000269296000008
dc.rights.accessRightsAcesso restrito
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt
unesp.author.orcid0000-0001-5602-5184[2]
dc.relation.ispartofjcr1.960
dc.relation.ispartofsjr0,861
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