The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation

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dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManna, Miguel A.
dc.contributor.authorMontero, Juan C. [UNESP]
dc.contributor.authorPereira, José G. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversité de Montpellier II
dc.date.accessioned2014-05-27T11:18:13Z
dc.date.available2014-05-27T11:18:13Z
dc.date.issued1997-05-01
dc.description.abstractWe apply a multiple-time version of the reductive perturbation method to study long waves as governed by the shallow water wave model equation. As a consequence of the requirement of a secularity-free perturbation theory, we show that the well known N-soliton dynamics of the shallow water wave equation, in the particular case of α = 2β, can be reduced to the N-soliton solution that satisfies simultaneously all equations of the Korteweg-de Vries hierarchy.en
dc.description.affiliationInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo
dc.description.affiliationPhys. Math. et Théorique UPRES-A 5032 Université de Montpellier II, 34095 Montpellier Cedex 05
dc.description.affiliationUnespInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo
dc.format.extent1277-1281
dc.identifierhttp://dx.doi.org/10.1143/JPSJ.66.1277
dc.identifier.citationJournal of the Physical Society of Japan, v. 66, n. 5, p. 1277-1281, 1997.
dc.identifier.doi10.1143/JPSJ.66.1277
dc.identifier.issn0031-9015
dc.identifier.scopus2-s2.0-0031481541
dc.identifier.urihttp://hdl.handle.net/11449/65097
dc.identifier.wosWOS:A1997XB37900013
dc.language.isoeng
dc.relation.ispartofJournal of the Physical Society of Japan
dc.relation.ispartofjcr1.485
dc.relation.ispartofsjr0,499
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectKdV hierarchy
dc.subjectPerturbation theory
dc.subjectSecularity
dc.titleThe Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equationen
dc.typeArtigo
dcterms.licensehttp://www.opticsinfobase.org/submit/review/copyright_permissions.cfm#posting
unesp.author.orcid0000-0001-5602-5184[1]
unesp.author.orcid0000-0002-5457-9359[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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