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Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains

By Michael Herrmann and Karsten Matthies

Abstract

It is well established that the solitary waves of FPU-type chains converge in the high-energy limit to traveling waves of the hard-sphere model. In this paper we establish improved asymptotic expressions for the wave profiles as well as an explicit formula for the wave speed. The key step in our approach is the derivation of an asymptotic ODE for the appropriately rescaled strain profile.Comment: revised version with corrected typos; 25 pages, several figure

Topics: Mathematics - Dynamical Systems, Mathematical Physics
Publisher: 'IOP Publishing'
Year: 2015
DOI identifier: 10.1088/0951-7715/28/8/2767
OAI identifier: oai:arXiv.org:1502.03937

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