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Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC

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dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorNakkeeran, K.
dc.contributor.authorChow, K. W.
dc.contributor.institutionUniversity of Aberdeen
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversity of Hong Kong
dc.date.accessioned2013-09-30T18:53:22Z
dc.date.accessioned2014-05-20T14:09:22Z
dc.date.available2013-09-30T18:53:22Z
dc.date.available2014-05-20T14:09:22Z
dc.date.issued2011-01-01
dc.description.abstractWe investigate the nonlinear Schrodinger equation with a time-dependent nonlinear coefficient. By means of Painleve analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding soliton solution is shown to be of the self-similar kind. We discuss the implications of the result to the dynamics of attractive Bose-Einstein condensates under Feshbach-managed nonlinearity and explore the possibility of a managed self-similar evolution in 1D condensates. (C) 2010 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Aberdeen, Univ London Kings Coll, Sch Engn, Aberdeen AB24 3UE, Scotland
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405 São Paulo, Brazil
dc.description.affiliationUniv Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405 São Paulo, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipRoyal Society
dc.description.sponsorshipResearch Grants Council of the Hong Kong Special Administrative Region, China
dc.description.sponsorshipIdRGC of the Hong Kong Special Administrative Region, China: HKU 7120/08E
dc.description.sponsorshipIdResearch Grants Council of the Hong Kong Special Administrative Region, China: HKU 7118/07E
dc.format.extent86-92
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2010.03.006
dc.identifier.citationCommunications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 1, p. 86-92, 2011.
dc.identifier.doi10.1016/j.cnsns.2010.03.006
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/11449/24148
dc.identifier.wosWOS:000282154900007
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofjcr3.181
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectNonlinear Schrodinger equationen
dc.subjectBose-Einstein condensate (BEC)en
dc.subjectSolitonen
dc.subjectHirota bilinear methoden
dc.titleIntegrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BECen
dc.typeArtigo
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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São Paulo - IFT - Instituto de Física Teórica