Instabilities and Bifurcations of Nonlinear Impurity Modes
Pattern Formation and Solitons
2009-11-10 v1
Abstract
We study the structure and stability of nonlinear impurity modes in the discrete nonlinear Schr{\"o}dinger equation with a single on-site nonlinear impurity emphasizing the effects of interplay between discreteness, nonlinearity and disorder. We show how the interaction of a nonlinear localized mode (a discrete soliton or discrete breather) with a repulsive impurity generates a family of stationary states near the impurity site, as well as examine both theoretical and numerical criteria for the transition between different localized states via a cascade of bifurcations.
Cite
@article{arxiv.nlin/0302010,
title = {Instabilities and Bifurcations of Nonlinear Impurity Modes},
author = {Panayotis G. Kevrekidis and Yuri S. Kivshar and Alexander S. Kovalev},
journal= {arXiv preprint arXiv:nlin/0302010},
year = {2009}
}
Comments
8 pages, 8 figures, Phys. Rev. E in press