Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60788
Type: Artigo de periódico
Title: Isoinertial family of operators and convergence of KdV cnoidal waves to solitons
Author: Neves, A
Abstract: In 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.
Subject: KdV equation
travelling waves
inertial index
hill operator
orbital stability
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jde.2007.09.010
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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