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dc.creatorCooper, Fredes
dc.creatorDawson, John F.es
dc.creatorMertens, Franz G.es
dc.creatorArévalo, Edwardes
dc.creatorQuintero, Niurka R.es
dc.creatorMihaila, Bogdanes
dc.creatorKhare, Avinashes
dc.creatorSaxena, Avadhes
dc.date.accessioned2018-11-23T09:31:35Z
dc.date.available2018-11-23T09:31:35Z
dc.date.issued2017
dc.identifier.citationCooper, F., Dawson, J.F., Mertens, F.G., Arévalo, E., Quintero, N.R., Mihaila, B.,...,Saxena, A. (2017). Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Journal of Physics A: Mathematical and Theoretical, 50, 485205-.
dc.identifier.issn1751-8113es
dc.identifier.urihttps://hdl.handle.net/11441/80468
dc.description.abstractWe discuss the effect of small perturbation on nodeless solutions of the nonlinear Schrödinger equation in 1 + 1 dimensions in an external complex potential derivable from a parity-time symmetric superpotential that was considered earlier (Kevrekidis et al 2015 Phys. Rev. E 92 042901). In particular, we consider the nonlinear partial differential equation { i ∂t + ∂2 x + g|ψ(x, t)| 2 − V+(x) } ψ(x, t) = 0, where V+(x)=(−b2 − m2 + 1/4)sech2 (x) − 2i m b sech(x) tanh(x) represents the complex potential. Here, we study the perturbations as a function of b and m using a variational approximation based on a dissipation functional formalism. We compare the result of this variational approach with direct numerical simulation of the equations. We find that the variational approximation works quite well at small and moderate values of the parameter product bm which controls the strength of the imaginary part of the potential. We also show that the dissipation functional formalism is equivalent to the generalized traveling wave method for this type of dissipation.es
dc.description.sponsorshipSanta Fe Institute and the Center for Nonlinear Studies at Los Alamos National Laboratoryes
dc.description.sponsorshipMinisterio de Economía y Competitividad (Spain) through FIS2014- 54497-Pes
dc.description.sponsorshipPlan Propio of Universidad de Sevillees
dc.description.sponsorshipTheoretical Division and Center for Nonlinear Studies at Los Alamos National Laboratoryes
dc.description.sponsorshipJunta de Andalucía (Spain) under Projects No. FQM207es
dc.description.sponsorshipExcellent Grant P11-FQM-7276es
dc.description.sponsorshipFondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) project No. 1141223es
dc.description.sponsorshipPrograma Iniciativa Científica Milenio (ICM) Grant No. 130001es
dc.description.sponsorshipIndian National Science Academy (INSA)es
dc.description.sponsorshipNational Science Foundation through its employee IR/D programes
dc.description.sponsorshipUS Department of Energyes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherIOPes
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical, 50, 485205-.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectStability analysises
dc.subjectCollective coordinateses
dc.subjectVariational approaches
dc.subjectDissipation functionales
dc.subjectTraveling wave methodes
dc.titleResponse of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetryes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Aplicada Ies
dc.relation.projectIDFIS2014- 54497-Pes
dc.relation.projectIDFQM207es
dc.relation.projectIDP11-FQM-7276es
dc.relation.projectID1141223es
dc.relation.projectID130001es
dc.relation.publisherversionhttp://iopscience.iop.org/article/10.1088/1751-8121/aa8d25/metaes
dc.identifier.doi10.1088/1751-8121/aa8d25es
dc.contributor.groupUniversidad de Sevilla. FQM-207 Física Atómica y Moleculares
idus.format.extent31 p.es
dc.journaltitleJournal of Physics A: Mathematical and Theoreticales
dc.publication.volumen50es
dc.publication.initialPage485205es

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