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

Travelling waves in FPU lattices

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.
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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