dc.creator | Palmero Acebedo, Faustino | es |
dc.creator | Molina Gálvez, Mario Ignacio | es |
dc.creator | Cuevas-Maraver, Jesús | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.date.accessioned | 2022-03-16T10:46:19Z | |
dc.date.available | 2022-03-16T10:46:19Z | |
dc.date.issued | 2022-02 | |
dc.identifier.citation | Palmero Acebedo, F., Molina Gálvez, M.I., Cuevas-Maraver, J. y Kevrekidis, P.G. (2022). Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices. Physics Letters A, 425 (February), 127880-. | |
dc.identifier.issn | 0375-9601 | es |
dc.identifier.uri | https://hdl.handle.net/11441/130865 | |
dc.description.abstract | For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly- decaying linear potential bearing a localized eigenmode embedded in the continuous spectrum. Here, we extend this idea in two directions: The first one is in the realm of the discrete nonlinear Schrödinger, where the linear operator of the Schrödinger type is considered in the presence of a Kerr focusing or defocusing nonlinearity and the embedded linear mode is continued into the nonlinear regime as a discrete solitary wave. The second case is the Klein-Gordon setting, where the presence of a cubic nonlinearity leads to the emergence of embedded-in-the-continuum discrete breathers. In both settings, it is seen that the stability of the modes near the linear limit turns into instability as nonlinearity is increased past a critical value, leading to a dynamical delocalization of the solitary wave (or breathing) state. Finally, we suggest a concrete experiment to observe these embedded modes using a bi-inductive electrical lattice. | es |
dc.description.sponsorship | Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía and EU (FEDER program 2014-2020) project P18-RT-3480 | es |
dc.description.sponsorship | Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía and EU (FEDER program 2014-2020) project US-1380977 | es |
dc.description.sponsorship | MICINN and AEI project PID2019-110430GB-C21 | es |
dc.description.sponsorship | MICINN and AEI project PID2020-112620GB-I00 | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (MICIU, Spain) and FEDER funds Project No. PID2019-108508GB-I00 | es |
dc.format | application/pdf | es |
dc.format.extent | 9 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Physics Letters A, 425 (February), 127880-. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Embedded mode | es |
dc.subject | Nonlinear BIC modes | es |
dc.subject | Embedded soliton | es |
dc.subject | Discrete breathers | es |
dc.title | Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | P18-RT-3480 | es |
dc.relation.projectID | US-1380977 | es |
dc.relation.projectID | PID2019-110430GB-C21 | es |
dc.relation.projectID | PID2020-112620GB-I00 | es |
dc.relation.projectID | PID2019-108508GB-I00 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0375960121007441#! | es |
dc.identifier.doi | 10.1016/j.physleta.2021.127880 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.validador.nota | Preprint. Submitted version | es |
dc.journaltitle | Physics Letters A | es |
dc.publication.volumen | 425 | es |
dc.publication.issue | February | es |
dc.publication.initialPage | 127880 | es |