Existence of odd, even, and multi-pulse discrete breathers in infinite Fermi-Pasta-Ulam lattices

Discrete breathers are spatially localized periodic solutions in nonlinear lattices. We prove the existence of odd symmetric, even symmetric, and multi-pulse discrete breathers in strong localization regime in one-dimensional infinite Fermi-Pasta-Ulam lattices with even interaction potentials. The multi-pulse discrete breather consists of an arbitrary number of the odd-like and/or even-like primary discrete breathers located separately on the lattice. The proof applies to both cases of pure attractive and repulsive-attractive interac-tion potentials. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

The research demonstrates the existence of discrete breathers in nonlinear lattices under specific conditions, including odd symmetric, even symmetric, and multi-pulse discrete breathers. These breathers can be located separately on the lattice and are applicable to various types of interaction potentials.