Localization in physical systems described by discrete nonlinear Schrodinger-type equations

A R Bishop; G Kalosakas; K O Rasmussen; P G Kevrekidis

doi:10.1063/1.1567651

Localization in physical systems described by discrete nonlinear Schrodinger-type equations

Chaos. 2003 Jun;13(2):588-95. doi: 10.1063/1.1567651.

Authors

A R Bishop¹, G Kalosakas, K O Rasmussen, P G Kevrekidis

Affiliation

¹ Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

PMID: 12777124
DOI: 10.1063/1.1567651

Abstract

Following a short introduction on localized modes in a model system, namely the discrete nonlinear Schrodinger equation, we present explicit results pertaining to three different physical systems described by similar equations. The applications range from the Raman scattering spectra of a complex electronic material through intrinsic localized vibrational modes, to the manifestation of an abrupt and irreversible delocalizing transition of Bose-Einstein condensates trapped in two-dimensional optical lattices, and to the instabilities of localized modes in coupled arrays of optical waveguides.