Travelling waves in FPU lattices

Dmitry Treschev

doi:10.3934/dcds.2004.11.867

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2004, Volume 11, Issue 4: 867-880. Doi: 10.3934/dcds.2004.11.867

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Travelling waves in FPU lattices

Dmitry Treschev^1,

1.
Department of Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899

Received: February 28, 2003

Revised: December 31, 2003

Published: September 2004

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Abstract

Fermi-Pasta-Ulam lattice is a classical mechanical system of an infinite number of discrete particles on a line. Each particle is assumed to interact with the nearest left and right neighbors only. We construct travelling waves in the system assuming that the potential has a singularity at zero. The waves appear near the hard ball limit.

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Mathematics Subject Classification: 37K60.

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