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arXiv · 2509.20165

Radiating Solitary Waves in an FPUT Lattice with Random Coefficients

Hermen Jan Hupkes·Joshua A. McGinnis·Rik W. S. Westdorp·J. Douglas Wright
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Abstract

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.

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Hermen Jan Hupkes, Joshua A. McGinnis, Rik W. S. Westdorp, J. Douglas Wright. 2025-09-24. Radiating Solitary Waves in an FPUT Lattice with Random Coefficients. https://arxiv.org/abs/2509.20165

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