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Bibliographic Details
Main Authors: Hupkes, Hermen Jan, McGinnis, Joshua A., Westdorp, Rik W. S., Wright, J. Douglas
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.20165
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Table of Contents:
  • We study the propagation of solitary waves in a Fermi-Pasta-Ulam-Tsingou (FPUT) lattice with small random heterogeneity in the linear spring force. Perturbed by the random environment, solitary waves lose energy through a radiative tail, resulting in gradual amplitude attenuation. As long as the wave remains coherent, we track its position and amplitude via a modulation approach. An expansion of the resulting modulation equations provides explicit predictions for the slow average amplitude decay, which we verify through numerical simulations.