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arXiv · 1511.00836

High-energy waves in superpolynomial FPU-type chains

Michael Herrmann
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Abstract

We consider periodic traveling waves in FPU-type chains with superpolynomial interaction forces and derive explicit asymptotic formulas for the high-energy limit as well as bounds for the corresponding approximation error. In the proof we adapt twoscale techniques that have recently been develop by Herrmann and Matthies for chains with singular potential and provide an asymptotic ODE for the scaled distance profile.

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Michael Herrmann. 2016-08-26. High-energy waves in superpolynomial FPU-type chains. https://doi.org/10.1007/s00332-016-9331-8

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