dc.creator | Cuevas-Maraver, Jesús | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.creator | Aceves, A. B. | es |
dc.creator | Saxena, Avadh | es |
dc.date.accessioned | 2017-09-28T16:37:42Z | |
dc.date.available | 2017-09-28T16:37:42Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Cuevas-Maraver, J., Kevrekidis, P.G., Aceves, A.B. y Saxena, A. (2017). Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum. Journal of Physics A: Mathematical and Theoretical, 1-13. | |
dc.identifier.issn | 1751-8113 | es |
dc.identifier.issn | 1751-8121 | es |
dc.identifier.uri | http://hdl.handle.net/11441/64852 | |
dc.description.abstract | In the present work, we explore a nonlinear Dirac equation motivated as the continuum limit of a binary waveguide array model. We approach the problem both from a near-continuum perspective as well as from a highly discrete one. Starting from the former, we see that the continuum Dirac solitons can be continued for all values of the discretization (coupling) parameter, down to the uncoupled (so-called anti-continuum) limit where they result in a 9-site configuration. We also consider configurations with 1- or 2-sites at the anti-continuum limit and continue them to large couplings, finding that they also persist. For all the obtained solutions, we examine not only the existence, but also the spectral stability through a linearization analysis and finally consider prototypical examples of the dynamics for a selected number of cases for which the solutions are found to be unstable. | es |
dc.description.sponsorship | The European Regional Development Funds program (EU-FEDER) | es |
dc.description.sponsorship | MEIC-Spain (project MAT2016-79866-R) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Institute of Physics (IOP) | es |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical, 1-13. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum | 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/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física I | es |
dc.relation.projectID | MAT2016-79866-R | es |
dc.identifier.doi | 10.1088/17518121/aa8e36 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 13 p. | es |
dc.journaltitle | Journal of Physics A: Mathematical and Theoretical | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 13 | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |