The Korteweg-de Vries hierarchy and long water-waves

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dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManna, M. A.
dc.contributor.authorPereira, J. G. [UNESP]
dc.contributor.institutionUniversité de Montpellier II
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:18:02Z
dc.date.available2014-05-27T11:18:02Z
dc.date.issued1995-12-01
dc.description.abstractBy using the multiple scale method with the simultaneous introduction of multiple times, we study the propagation of long surface-waves in a shallow inviscid fluid. As a consequence of the requirements of scale invariance and absence of secular terms in each order of the perturbative expansion, we show that the Korteweg-de Vries hierarchy equations do play a role in the description of such waves. Finally, we show that this procedure of eliminating secularities is closely related to the renormalization technique introduced by Kodama and Taniuti. © 1995 American Institute of Physics.en
dc.description.affiliationPhysique Mathématique et Théorique URA-CNRS 768 Université de Montpellier II, 34095 Montpellier Cedex 05
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo SP
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo SP
dc.format.extent307-320
dc.identifierhttp://dx.doi.org/10.1063/1.531294
dc.identifier.citationJournal of Mathematical Physics, v. 36, n. 1, p. 307-320, 1995.
dc.identifier.doi10.1063/1.531294
dc.identifier.file2-s2.0-21844521262.pdf
dc.identifier.issn0022-2488
dc.identifier.lattes1599966126072450
dc.identifier.scopus2-s2.0-21844521262
dc.identifier.urihttp://hdl.handle.net/11449/64670
dc.identifier.wosWOS:A1995QA69400019
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Physics
dc.relation.ispartofjcr1.165
dc.relation.ispartofsjr0,644
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleThe Korteweg-de Vries hierarchy and long water-wavesen
dc.typeArtigo
dcterms.licensehttp://publishing.aip.org/authors/web-posting-guidelines
unesp.author.lattes1599966126072450
unesp.author.orcid0000-0001-5602-5184[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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