Summary
2023
Session Number:D2L-4
Session:
Number:D2L-41
Existence of Multi-Pulse Discrete Breathers in Fermi-Pasta-Ulam-Tsingou Lattices
Yoshimura Kazuyuki,
pp.716-719
Publication Date:2023-09-21
Online ISSN:2188-5079
Summary:
Discrete breathers are spatially localized periodic solutions in nonlinear lattices. We have proved the existence of multi-pulse discrete breathers in strong localization regime in one-dimensional infinite Fermi-Pasta-Ulam-Tsingou (FPUT) 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 existence of odd symmetric and even symmetric single-pulse discrete breathers is included as particular cases. The proof applies to both cases of pure attractive and repulsive-attractive interaction potentials.