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

[摘要] 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.

[发布日期] 2021-10-15

[关键词] Fermi-Pasta-Ulam lattice;Discrete breather;Existence;Odd and even symmetry;Multi-pulse