Isoinertial family of operators and convergence of KdV cnoidal waves to solitons

dc.creatorNeves, A
dc.date2008
dc.dateFEB 15
dc.date2014-11-20T00:55:16Z
dc.date2015-11-26T16:01:46Z
dc.date2014-11-20T00:55:16Z
dc.date2015-11-26T16:01:46Z
dc.date.accessioned2018-03-28T22:51:17Z
dc.date.available2018-03-28T22:51:17Z
dc.identifierJournal Of Differential Equations. Academic Press Inc Elsevier Science, v. 244, n. 4, n. 875, n. 886, 2008.
dc.identifier0022-0396
dc.identifierWOS:000253598400006
dc.identifier10.1016/j.jde.2007.09.010
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/60788
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/60788
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/60788
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1264921
dc.descriptionIn this paper we show the convergence of Korteweg-de Vries cnoidal waves to the limit soliton. It is proved that the convergence is uniform and in H-2-norm, as the period of the solutions tends to infinity. Families of Hill operators are also studied. We obtain a condition under which families of operators are isoinertial. This condition is satisfied for classes of Hill operators that are obtained by linearization. Our application is to the family of linearized operators at the KdV cnoidal waves. It is proved that this family is isoinertial and also the value of the inertial index is calculated. (C) 2007 Elsevier Inc. All rights reserved.
dc.description244
dc.description4
dc.description875
dc.description886
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Differential Equations
dc.relationJ. Differ. Equ.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectKdV equation
dc.subjecttravelling waves
dc.subjectinertial index
dc.subjecthill operator
dc.subjectorbital stability
dc.subjectSolitary Waves
dc.subjectStability Theory
dc.subjectSymmetry
dc.titleIsoinertial family of operators and convergence of KdV cnoidal waves to solitons
dc.typeArtículos de revistas


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