Author： Herrmann Michael Matthies Karsten
Publisher： IOP Publishing
E-ISSN： 1361-6544|28|8|2767-2789
ISSN： 0951-7715
Source： Nonlinearity, Vol.28, Iss.8, 2015-08, pp. : 2767-2789
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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.
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