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Generalized neighbor-interaction models induced by nonlinear lattices
PHYSICAL REVIEW E
  • FK Abdullaev
  • YV Bludov
  • SV Dmitriev
  • PG Kevrekidis, University of Massachusetts - Amherst
  • VV Konotop
Publication Date
2008
Abstract
It 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 nonstandard possibilities, among which we mention a quasilinear regime, where the pulse dynamics obeys essentially the linear Schrödinger equation. We analyze the properties of such models both in connection to their modulational stability, as well as in regard to the existence and stability of their localized solitary wave solutions.
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://pre.aps.org/abstract/PRE/v77/i1/e016604
Pages
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Citation Information
FK Abdullaev, YV Bludov, SV Dmitriev, PG Kevrekidis, et al.. "Generalized neighbor-interaction models induced by nonlinear lattices" PHYSICAL REVIEW E Vol. 77 Iss. 1 (2008)
Available at: http://works.bepress.com/panos_kevrekidis/2/