Existence of Traveling Waves in Infinite Range FPUT Lattices
Analysis of PDEs
2026-02-02 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2601.23091,
title = {Existence of Traveling Waves in Infinite Range FPUT Lattices},
author = {Michael Herrmann and Karsten Matthies and Jan-Patrick Meyer},
journal= {arXiv preprint arXiv:2601.23091},
year = {2026}
}