Generalized Neighbor-Interaction Models Induced by Nonlinear Lattices

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dc.creatorAbdullaev, F. Kh.
dc.creatorBludov, Yu. V.
dc.creatorDmitriev, S. V.
dc.creatorKevrekidis, P. G.
dc.creatorKonotop, V. V.
dc.date2007-07-17
dc.date.accessioned2026-07-07T08:55:56Z
dc.date.available2026-07-07T08:55:56Z
dc.descriptionIt is shown that the tight-binding approximation of the nonlinear Schrödinger equation with a periodic linear potential and periodic in space nonlinearity coefficient gives rise to a number of nonlinear lattices with complex, both linear and nonlinear, neighbor interactions. The obtained lattices present non-standard possibilities, among which we mention a quasi-linear regime, where the pulse dynamics obeys essentially the linear Schr{ö}dinger equation. We analyze the properties of such models both in connection with their modulational stability, as well as in regard to the existence and stability of their localized solitary wave solutions.
dc.identifierhttps://arxiv.org/abs/0707.2512
dc.identifierhttp://arxiv.org/abs/0707.2512
dc.identifierPHYSICAL REVIEW E 77, 016604 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.016604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146437
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleGeneralized Neighbor-Interaction Models Induced by Nonlinear Lattices
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