Localized States in Discrete Nonlinear Schrödinger Equations

Preprint

14 March 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.patt-sol/9305003

Abstract

A new 1-D discrete nonlinear Schr\"{o}dinger (NLS) Hamiltonian is introduced which includes the integrable Ablowitz-Ladik system as a limit. The symmetry properties of the system are studied. The relationship between intrinsic localized states and the soliton of the Ablowitz-Ladik NLS is discussed. It is pointed out that a staggered localized state can be viewed as a particle of a {\em negative} effective mass. It is shown that staggered localized states can exist in the discrete dark NLS. The motion of localized states and Peierls-Nabarro pinning are studied.

Keywords

STAGGERED LOCALIZED STATES
DISCRETE NONLINEAR
ABLOWITZ LADIK
NONLINEAR SCHR
LADIK
NLS

All Related Versions

Version 1, 1993-03-14, ArXiv
Published version: Physical Review Letters, 72 (5), 591.

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