Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach
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Publication:5020216
DOI10.1063/5.0058381zbMath1493.37088arXiv2105.00745OpenAlexW4200536105MaRDI QIDQ5020216
Nikos I. Karachalios, Dirk Hennig
Publication date: 4 January 2022
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.00745
Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Lattice dynamics; integrable lattice equations (37K60)
Related Items (2)
Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤd, d ≥ 1 ⋮ Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices
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