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dc.contributor.authorKraenkel, Roberto André-
dc.contributor.authorManna, Miguel A.-
dc.contributor.authorMontero, Juan C.-
dc.contributor.authorPereira, José G.-
dc.identifier.citationJournal of the Physical Society of Japan, v. 66, n. 5, p. 1277-1281, 1997.-
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.subjectKdV hierarchy-
dc.subjectPerturbation theory-
dc.titleThe Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equationen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversité de Montpellier II-
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.rights.accessRightsAcesso restrito-
dc.relation.ispartofJournal of the Physical Society of Japan-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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