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Type: Artigo de periódico
Author: Pava, JA
Banquet, C
Scialom, M
Abstract: In this work we establish new results about the existence of smooth, explicit families of periodic traveling waves for the modified and fourth-order Benjamin-Bona-Mahony equations. We also prove, under certain conditions, that these families are nonlinearly stable in the energy space. The techniques employed may be of further use in the study of the stability of periodic traveling-wave solutions of other nonlinear evolution equations.
Subject: Periodic traveling waves
Nonlinear stability
Modified BBM equation
Fourth BBM equation
Country: EUA
Editor: Amer Inst Mathematical Sciences
Citation: Discrete And Continuous Dynamical Systems. Amer Inst Mathematical Sciences, v. 30, n. 3, n. 851, n. 871, 2011.
Rights: aberto
Identifier DOI: 10.3934/dcds.2011.30.851
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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