Dmitry Treschev - Department of Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russian Federation (email)
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.
Keywords: Semigroups, integrated semigroups, growth bounds, eventual and
essential compactness, asynchronous exponential growth.
Received: March 2003; Revised: January 2004; Published: September 2004.
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