dc.creator | Cuevas-Maraver, Jesús | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.creator | Malomed, Boris A. | es |
dc.creator | Guo, Lijuan | es |
dc.date.accessioned | 2019-05-15T10:22:28Z | |
dc.date.available | 2019-05-15T10:22:28Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Cuevas-Maraver, J., Kevrekidis, P.G., Malomed, B.A. y Guo, L. (2019). Solitary waves in the Ablowitz--Ladik equation with power-law nonlinearity. Journal of Physics A: Mathematical and Theoretical, 52 (6), 065202-. | |
dc.identifier.issn | 1751-8113 | es |
dc.identifier.issn | 1751-8121 | es |
dc.identifier.uri | https://hdl.handle.net/11441/86384 | |
dc.description.abstract | We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the continuum nonlinear Schr¨odinger equation with the same type of the nonlinearity. The model
opens a way to study the interplay of discreteness and nonlinearity features. We identify stationary discretesoliton states for different values of nonlinearity power σ, and address changes of their stability as frequency
ω of the standing wave varies for given σ. Along with numerical methods, a variational approximation is
used to predict the form of the discrete solitons, their stability changes, and bistability features by means of
the Vakhitov-Kolokolov criterion (developed from the first principles). Development of instabilities and the
resulting asymptotic dynamics are explored by means of direct simulations. | es |
dc.description.sponsorship | European Union AEI/FEDER MAT2016-79866-R | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP Publishing | es |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical, 52 (6), 065202-. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Discrete solitons | es |
dc.subject | Ablowitz–Ladik lattices | es |
dc.subject | Variational approach | es |
dc.title | Solitary waves in the Ablowitz--Ladik equation with power-law nonlinearity | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | MAT2016-79866-R | es |
dc.date.embargoEndDate | 2020-02-01 | |
dc.relation.publisherversion | https://iopscience.iop.org/article/10.1088/1751-8121/aaf755 | es |
dc.identifier.doi | 10.1088/1751-8121/aaf755 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 11 p. | es |
idus.validador.nota | Postprint con embargo hasta febrero de 2020 | es |
dc.journaltitle | Journal of Physics A: Mathematical and Theoretical | es |
dc.publication.volumen | 52 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 065202 | es |