De Toda à KdV

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dc.creatorBambusi, Dario
dc.creatorKappeler, Thomas
dc.creatorPaul, Thierry
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:38:09Z
dc.date.available2026-07-07T12:38:09Z
dc.descriptionWe consider the large number of particles limit of a periodic Toda lattice for a family of initial data close to the equilibrium state. We show that each of the two edges of the spectra of the corresponding Jacobi matrices is up to an error, determined by the spectra of two Hill operators, associated to this family. We then show that the spectra of the Jacobi matrices remain almost constant when the matrices evolve along the two limiting KdV equations. Finally we prove that the Toda actions, when appropriately renormalized, converge to the ones of KdV .
dc.identifierhttps://arxiv.org/abs/0902.0797
dc.identifierhttp://arxiv.org/abs/0902.0797
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218656
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleDe Toda à KdV
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