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October  2004, 11(4): 867-880. doi: 10.3934/dcds.2004.11.867

Travelling waves in FPU lattices

Dmitry Treschev 1,

1. 

Department of Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russian Federation

Received  March 2003 Revised  January 2004 Published  September 2004

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.
Keywords: asynchronous exponential growth., Semigroups, eventual and essential compactness, growth bounds, integrated semigroups.
Mathematics Subject Classification: 37K6.
Citation: Dmitry Treschev. Travelling waves in FPU lattices. Discrete & Continuous Dynamical Systems, 2004, 11 (4) : 867-880. doi: 10.3934/dcds.2004.11.867
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