Transverse nonlinear instability for two-dimensional dispersive models

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dc.creatorRousset, F.
dc.creatorTzvetkov, N.
dc.date2006-12-18
dc.date2007-02-07
dc.date.accessioned2026-07-07T07:45:04Z
dc.date.available2026-07-07T07:45:04Z
dc.descriptionWe present a method to prove nonlinear instability of solitary waves in dispersive models. Two examples are analyzed: we prove the nonlinear long time instability of the KdV solitary wave (with respect to periodic transverse perturbations) under a KP-I flow and the transverse nonlinear instability of solitary waves for the cubic nonlinear Schrödinger equation.
dc.description26 pages, minor changes
dc.identifierhttps://arxiv.org/abs/math/0612494
dc.identifierhttp://arxiv.org/abs/math/0612494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123415
dc.subjectAnalysis of PDEs
dc.titleTransverse nonlinear instability for two-dimensional dispersive models
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