Discreteness-Induced Oscillatory Instabilities of Dark Solitons

Magnus Johansson; Yuri S. Kivshar

doi:10.1103/PhysRevLett.82.85

Discreteness-Induced Oscillatory Instabilities of Dark Solitons

Magnus Johansson and Yuri S. Kivshar

Phys. Rev. Lett. 82, 85 – Published 4 January 1999

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 analyze how it may occur for dark solitons of the discrete nonlinear Schrödinger and generalized Ablowitz-Ladik equations.

Received 18 August 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.85

Authors & Affiliations

Magnus Johansson¹ and Yuri S. Kivshar²

¹Department of Physics and Measurement Technology, Linköping University, S-581 83 Linköping, Sweden
²Optical Sciences Center, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia