Localized States in Discrete Nonlinear Schr\"{o}dinger Equations
patt-sol
2009-10-22 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.patt-sol/9305003,
title = {Localized States in Discrete Nonlinear Schr\"{o}dinger Equations},
author = {David Cai and A. R. Bishop and Niels Grønbech-Jensen},
journal= {arXiv preprint arXiv:patt-sol/9305003},
year = {2009}
}
Comments
LaTeX file. Two postscript figure files