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dc.contributor.authorKumar, Shubham
dc.contributor.authorHerrero Simon, Ramon
dc.contributor.authorBotey Cumella, Muriel
dc.contributor.authorStaliunas, Kestutis
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.date.accessioned2015-11-18T07:53:33Z
dc.date.available2015-11-18T07:53:33Z
dc.date.issued2015-08-19
dc.identifier.citationKumar, S., Herrero, R., Botey, M., Staliunas, K. Taming of modulation instability by spatio-temporal modulation of the potential. "Scientific reports", 19 Agost 2015, vol. 5, núm. 13268, p. 1-7.
dc.identifier.issn2045-2322
dc.identifier.urihttp://hdl.handle.net/2117/79387
dc.description.abstractSpontaneous pattern formation in a variety of spatially extended nonlinear systems always occurs through a modulation instability, sometimes called Turing instability: the homogeneous state of the system becomes unstable with respect to growing modulation modes. Therefore, the manipulation of the modulation instability is of primary importance in controlling and manipulating the character of spatial patterns initiated by that instability. We show that a spatio-temporal periodic modulation of the potential of spatially extended systems results in a modification of its pattern forming instability. Depending on the modulation character the instability can be partially suppressed, can change its spectrum (for instance the long wave instability can transform into short wave instability), can split into two, or can be completely eliminated. The latter result is of special practical interest, as it can be used to stabilize the intrinsically unstable system. The result bears general character, as it is shown here on a universal model of the Complex Ginzburg-Landau equation in one and two spatial dimensions (and time). The physical mechanism of the instability suppression can be applied to a variety of intrinsically unstable dissipative systems, like self-focusing lasers, reaction-diffusion systems, as well as in unstable conservative systems, like attractive Bose Einstein condensates.
dc.format.extent7 p.
dc.language.isoeng
dc.publisherMacmillan Publishers
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshPhysics
dc.subject.otherGinzburg-landau equation
dc.subject.otherEquilibrium
dc.subject.otherLattices
dc.titleTaming of modulation instability by spatio-temporal modulation of the potential
dc.typeArticle
dc.subject.lemacFísica
dc.contributor.groupUniversitat Politècnica de Catalunya. DONLL - Dinàmica no Lineal, Òptica no Lineal i Làsers
dc.identifier.doi10.1038/srep13268
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
drac.iddocument16870211
dc.description.versionPostprint (published version)
upcommons.citation.authorKumar, S.; Herrero, R.; Botey, M.; Staliunas, K.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameScientific reports
upcommons.citation.volume5
upcommons.citation.number13268
upcommons.citation.startingPage1
upcommons.citation.endingPage7
dc.identifier.pmid26286250


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