Discreteness-Induced Oscillatory Instabilities of Dark Solitons
patt-sol
2009-10-31 v1 Pattern Formation and Solitons
Abstract
We reveal that even weak inherent discreteness of a nonlinear model can lead to instabilities of the localized modes it supports. We present the first example of an oscillatory instability of dark solitons, and analyse how it may occur for dark solitons of the discrete nonlinear Schrodinger and generalized Ablowitz-Ladik equations.
Keywords
Cite
@article{arxiv.patt-sol/9811002,
title = {Discreteness-Induced Oscillatory Instabilities of Dark Solitons},
author = {Magnus Johansson and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:patt-sol/9811002},
year = {2009}
}
Comments
11 pages, 4 figures, to be published in Physical Review Letters