Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach

The problem of showing the existence of localized modes in nonlinear lattices has attracted considerable efforts not only from the physical but also from the mathematical viewpoint where a rich variety of methods have been employed. In this paper, we prove that a fixed point theory approach based on...

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Veröffentlicht in:	Journal of mathematical physics 2021-12, Vol.62 (12), Article 123506
Hauptverfasser:	Hennig, Dirk, Karachalios, Nikos I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Breathers Existence theorems Fixed points (mathematics) Parity Physical Sciences Physics Physics, Mathematical Science & Technology
Online-Zugang:	Volltext
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