Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy

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2004 IOP Publishing Ltd and LMS Publishing Ltd
, , Citation G Friesecke and R L Pego 2004 Nonlinearity 17 229 DOI 10.1088/0951-7715/17/1/014

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Author affiliations

1 Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK

2 Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA

Dates

  1. Received 12 May 2003

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0951-7715/17/1/229

Abstract

We establish the long-time stability of low-energy solitary waves in one-dimensional nonintegrable lattices with Hamiltonian with a general nearest-neighbour potential V. As a corollary we obtain a recurrence theorem related to numerical observations by Fermi, Pasta and Ulam.

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