dc.creator | Cuevas-Maraver, Jesús | es |
dc.creator | Boussaïd, Nabile | es |
dc.creator | Comech, Andrew | es |
dc.creator | Lan, Ruomeng | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.creator | Saxena, Avadh | es |
dc.date.accessioned | 2019-05-21T10:17:48Z | |
dc.date.available | 2019-05-21T10:17:48Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Cuevas-Maraver, J., Boussaïd, N.,...,Saxena, A. (2018). Solitary waves in the Nonlinear Dirac Equation. En Nonlinear Systems, Vol. 1. Mathematical Theory and Computational Methods (pp. 89-143). Switzerland: Springer Nature Switzerland AG | |
dc.identifier.isbn | 978-3-319-66765-2 | es |
dc.identifier.isbn | 978-3-319-66766-9 | es |
dc.identifier.uri | https://hdl.handle.net/11441/86611 | |
dc.description.abstract | In the present work, we consider the existence, stability, and dynamics of
solitary waves in the nonlinear Dirac equation. We start by introducing the Soler
model of self-interacting spinors, and discuss its localized waveforms in one, two,
and three spatial dimensions and the equations they satisfy. We present the associ-
ated explicit solutions in one dimension and numerically obtain their analogues in
higher dimensions. The stability is subsequently discussed from a theoretical per-
spective and then complemented with numerical computations. Finally, the dynam-
ics of the solutions is explored and compared to its non-relativistic analogue, which
is the nonlinear Schr¨odinger equation. | es |
dc.description.sponsorship | AEI/FEDER, European Union project MAT2006-79866-R | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer Nature Switzerland AG | es |
dc.relation.ispartof | Nonlinear Systems, Vol. 1. Mathematical Theory and Computational Methods | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Solitons | es |
dc.subject | Solitary waves | es |
dc.subject | Vortices | es |
dc.subject | Nonlinear Dirac equation | es |
dc.subject | Stability | es |
dc.subject | Soler model | es |
dc.title | Solitary waves in the Nonlinear Dirac Equation | es |
dc.type | info:eu-repo/semantics/bookPart | 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 Apñicada I | es |
dc.relation.projectID | MAT2006-79866-R | es |
dc.relation.publisherversion | https://link.springer.com/chapter/10.1007%2F978-3-319-66766-9_4#Notes | es |
dc.identifier.doi | 10.1007/978-3-319-66766-9_4 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 54 p. | es |
idus.validador.nota | Postprint | es |
dc.publication.initialPage | 89 | es |
dc.publication.endPage | 143 | es |
dc.relation.publicationplace | Switzerland | es |