English

Coherent structures in long range FPUT lattices, Part I: Solitary Waves

Analysis of PDEs 2025-06-02 v1 Dynamical Systems

Abstract

We consider long range variants of Fermi-Pasta-Ulam-Tsingou lattice and in particular allow for particles to interact over arbitrarily long distances. We develop sufficient conditions which allow for the construction of solitary wave solutions.

Keywords

Cite

@article{arxiv.2505.24828,
  title  = {Coherent structures in long range FPUT lattices, Part I: Solitary Waves},
  author = {J. Douglas Wright and Udoh Akpan},
  journal= {arXiv preprint arXiv:2505.24828},
  year   = {2025}
}