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Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder's fixed point theorem approach
dc.creator | Hennig D., Karachalios N.I. | en |
dc.date.accessioned | 2023-01-31T08:28:06Z | |
dc.date.available | 2023-01-31T08:28:06Z | |
dc.date.issued | 2021 | |
dc.identifier | 10.1063/5.0058381 | |
dc.identifier.issn | 00222488 | |
dc.identifier.uri | http://hdl.handle.net/11615/73952 | |
dc.description.abstract | 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 the celebrated Schauder's fixed point theorem may provide a general method to concisely establish not only the existence of localized structures but also a required rate of spatial localization. As a case study, we consider lattices of coupled particles with a nonlinear nearest neighbor interaction and prove the existence of exponentially spatially localized breathers exhibiting either even-parity or odd-parity symmetry under necessary non-resonant conditions accompanied with the proof of energy bounds of solutions. © 2021 Author(s). | en |
dc.language.iso | en | en |
dc.source | Journal of Mathematical Physics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122006072&doi=10.1063%2f5.0058381&partnerID=40&md5=9e49a042bd5de9a4ed9e6a78197953f9 | |
dc.subject | American Institute of Physics Inc. | en |
dc.title | Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder's fixed point theorem approach | en |
dc.type | journalArticle | en |
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