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Solitons in the discrete nonpolynomial Schrodinger equation
dc.creator | Maluckov, Aleksandra | |
dc.creator | Hadžievski, Ljupčo | |
dc.creator | Malomed, Boris A. | |
dc.creator | Salasnich, Luca | |
dc.date.accessioned | 2018-03-01T20:30:24Z | |
dc.date.available | 2018-03-01T20:30:24Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.uri | https://vinar.vin.bg.ac.rs/handle/123456789/3502 | |
dc.description.abstract | We introduce a species of the discrete nonlinear Schrodinger (DNLS) equation, which is a model for a self-attractive Bose-Einstein condensate confined in a combination of a cigar-shaped trap and deep optical lattice acting in the axial direction. The equation is derived as a discretization of the respective nonlinear nonpolynomial Schrodinger equation. Unlike previously considered varieties of one-dimensional DNLS equations, the present discrete model admits on-site collapse. We find two families of unstaggered on-site-centered discrete solitons, stable and unstable ones, which include, respectively, broad and narrow solitons, their stability exactly complying with the Vakhitov-Kolokolov criterion. Unstable on-site solitons either decay or transform themselves into robust breathers. Intersite-centered unstaggered solitons are unstable to collapse; however, they may be stabilized by the application of a sufficiently strong kick, which turns them into moving localized modes. Persistently moving solitons can be readily created too by the application of the kick to stable on-site unstaggered solitons. In the same model, staggered solitons, which are counterparts of gap solitons in the continuum medium, are possible if the intrinsic nonlinearity is self-repulsive. All on-site staggered solitons are stable, while intersite ones have a small instability region. The staggered solitons are immobile. | en |
dc.rights | restrictedAccess | en |
dc.source | Physical Review A | en |
dc.title | Solitons in the discrete nonpolynomial Schrodinger equation | en |
dc.type | article | en |
dcterms.abstract | Малуцков Aлександра; Хаджиевски Љупчо; Маломед, Борис A.; Саласницх, Луца; | |
dc.citation.volume | 78 | |
dc.citation.issue | 1 | |
dc.identifier.wos | 000258180300172 | |
dc.identifier.doi | 10.1103/PhysRevA.78.013616 | |
dc.citation.other | Article Number: 013616 | |
dc.citation.rank | M21a | |
dc.identifier.scopus | 2-s2.0-47749126617 |
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