Solitary waves in the Nonlinear Dirac Equation

Cuevas-Maraver, Jesús; Boussaïd, Nabile; Comech, Andrew; Lan, Ruomeng; Kevrekidis, Panayotis G.; Saxena, Avadh

doi:10.1007/978-3-319-66766-9_4

Capítulo de Libro

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

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