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arXiv · 2601.23091

Existence of Traveling Waves in Infinite Range FPUT Lattices

Michael Herrmann·Karsten Matthies·Jan-Patrick Meyer
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Abstract

We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence proof is based on constrained optimization and provides a one-parameter family of unimodal solutions. We also describe the asymptotic behavior of large, fast, high-energy waves.

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Michael Herrmann, Karsten Matthies, Jan-Patrick Meyer. 2026-01-30. Existence of Traveling Waves in Infinite Range FPUT Lattices. https://doi.org/10.1017/jnw.2026.10039

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