A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam model near the KdV Limit

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dc.creatorHoffman, A.
dc.creatorWayne, C. E.
dc.date2008-11-14
dc.date.accessioned2026-07-07T10:18:27Z
dc.date.available2026-07-07T10:18:27Z
dc.descriptionBy combining results of Mizumachi on the stability of solitons for the Toda lattice with a simple rescaling and a careful control of the KdV limit we give a simple proof that small amplitude, long-wavelength solitary waves in the Fermi-Pasta-Ulam (FPU) model are linearly stable and hence by the results of Friesecke and Pego that they are also nonlinearly, asymptotically stable.
dc.identifierhttps://arxiv.org/abs/0811.2406
dc.identifierhttp://arxiv.org/abs/0811.2406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174194
dc.subjectPattern Formation and Solitons
dc.titleA Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam model near the KdV Limit
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