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dc.creatorCuevas-Maraver, Jesús
dc.creatorKevrekidis, Panayotis G.
dc.creatorSaxena, Avadh
dc.creatorCooper, Fred
dc.creatorKhare, Avinash
dc.creatorComech, Andrew
dc.creatorBender, Carl M.
dc.date.accessioned2015-10-27T14:57:16Z
dc.date.available2015-10-27T14:57:16Z
dc.date.issued2016
dc.identifier.issn1077-260Xes
dc.identifier.issn1558-4542es
dc.identifier.urihttp://hdl.handle.net/11441/30119
dc.descriptionVersión post-print del autor. (Invited Paper)es
dc.description.abstractIn the present work, we consider a prototypical example of a PT -symmetric Dirac model. We discuss the underlying linear limit of the model and identify the threshold of the PT -phase transition in an analytical form. We then focus on the examination of the nonlinear model. We consider the continuation in the PT -symmetric model of the solutions of the corresponding Hamiltonian model and find that the solutions can be continued robustly as stable ones all the way up to the PT - transition threshold. In the latter, they degenerate into linear waves. We also examine the dynamics of the model. Given the stability of the waveforms in the PT -exact phase we consider them as initial conditions for parameters outside of that phase. We find that both oscillatory dynamics and exponential growth may arise, depending on the size of the corresponding “quench”. The former can be characterized by an interesting form of bifrequency solutions that have been predicted on the basis of the SU(1; 1) symmetry. Finally, we explore some special, analytically tractable, but not PT -symmetric solutions in the massless limit of the model.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherIEEEes
dc.relation.ispartofIEEE Journal of Selected Topics in Quantum Electronics, 22(5), 1-9es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNonlinear dynamical systemses
dc.subjectnonlinear differential equationses
dc.subjectbifurcationes
dc.titleSolitary waves of a PT -symmetric Nonlinear Dirac equationes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersion
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Aplicada Ies
dc.relation.publisherversionhttp://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7293090es
dc.identifier.doihttp://dx.doi.org/10.1109/JSTQE.2015.2485607es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/30119

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