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Type: Artigo de periódico
Title: Instability of travelling waves for weakly coupled KdV systems
Author: Angulo, J
Lopes, O
Neves, A
Abstract: In this paper we consider the weakly coupled KdV system {u(t) = (-u(xx) + f(u) + epsilon F-u(u, v))(x) v(t) = (-v(xx) + g(v) + epsilon F-v(u, v))(x). (0.1) where epsilon is a small parameter. Assuming that for epsilon = 0 the decoupled system has a travelling wave, we first give a sufficient condition for the persistence of such a wave. Secondly, assuming that each wave for the unperturbed system is stable and under a generic condition, we show that, at least for a one-sided interval for the parameter epsilon, the persistent wave is unstable. (C) 2007 Elsevier Ltd. All rights reserved.
Subject: coupled KdV systems
instability of travelling waves
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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