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Discreteness-induced oscillatory instabilities of dark solitons

Johansson, Magnus; Kivshar, Yuri

Description

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 analyze how it may occur for dark solitons of the discrete nonlinear Schrödinger and generalized Ablowitz-Ladik equations. [S0031-9007(98)08088-0]

CollectionsANU Research Publications
Date published: 1999-01-04
Type: Journal article
URI: http://hdl.handle.net/10440/817
http://digitalcollections.anu.edu.au/handle/10440/817
Source: Physical Review Letters
DOI: 10.1103/PhysRevLett.82.85

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