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dc.contributor.authorTrillo, S.
dc.contributor.authorGongora, J. S. Totero
dc.contributor.authorFratalocchi, Andrea
dc.date.accessioned2015-02-11T08:32:57Z
dc.date.available2015-02-11T08:32:57Z
dc.date.issued2014-12-03
dc.identifier.citationWave instabilities in the presence of non vanishing background in nonlinear Schrödinger systems 2014, 4:7285 Scientific Reports
dc.identifier.issn2045-2322
dc.identifier.pmid25468032
dc.identifier.doi10.1038/srep07285
dc.identifier.urihttp://hdl.handle.net/10754/344394
dc.description.abstractWe investigate wave collapse ruled by the generalized nonlinear Schrödinger (NLS) equation in 1+1 dimensions, for localized excitations with non-zero background, establishing through virial identities a new criterion for blow-up. When collapse is arrested, a semiclassical approach allows us to show that the system can favor the formation of dispersive shock waves. The general findings are illustrated with a model of interest to both classical and quantum physics (cubic-quintic NLS equation), demonstrating a radically novel scenario of instability, where solitons identify a marginal condition between blow-up and occurrence of shock waves, triggered by arbitrarily small mass perturbations of different sign.
dc.description.sponsorshipWe acknowledge funding from Italian Ministry of University and Research (MIUR, grant PRIN 2012BFNWZ2) and KAUST (Award No. CRG-1-2012-FRA-005).
dc.publisherNature Publishing Group
dc.relation.urlhttp://www.nature.com/doifinder/10.1038/srep07285
dc.rightsThis work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
dc.subjectOptics and photonics
dc.subjectApplied mathematics
dc.titleWave instabilities in the presence of non vanishing background in nonlinear Schrödinger systems
dc.typeArticle
dc.contributor.departmentPRIMALIGHT Research Group
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalScientific Reports
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italy
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personGongora, J. S. Totero
kaust.personFratalocchi, Andrea
refterms.dateFOA2018-06-13T13:28:23Z


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