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

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorKraenkel, Roberto André
dc.creatorManna, Miguel A.
dc.creatorMontero, Juan C.
dc.creatorPereira, José G.
dc.date2014-05-27T11:18:13Z
dc.date2016-10-25T18:14:26Z
dc.date2014-05-27T11:18:13Z
dc.date2016-10-25T18:14:26Z
dc.date1997-05-01
dc.date.accessioned2017-04-06T00:49:32Z
dc.date.available2017-04-06T00:49:32Z
dc.identifierJournal of the Physical Society of Japan, v. 66, n. 5, p. 1277-1281, 1997.
dc.identifier0031-9015
dc.identifierhttp://hdl.handle.net/11449/65097
dc.identifierhttp://acervodigital.unesp.br/handle/11449/65097
dc.identifier10.1143/JPSJ.66.1277
dc.identifierWOS:A1997XB37900013
dc.identifier2-s2.0-0031481541
dc.identifierhttp://dx.doi.org/10.1143/JPSJ.66.1277
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/886853
dc.descriptionWe 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.
dc.languageeng
dc.relationJournal of the Physical Society of Japan
dc.rightsinfo:eu-repo/semantics/closedAccess
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 Equation
dc.typeOtro


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