Discreteness-Induced Oscillatory Instabilities of Dark Solitons

Details Discreteness-Induced Oscillatory Instabilities of Dark Solitons Discreteness-Induced Oscillatory Instabilities of Dark Solitons

1998-11-05

arxiv.org/abs/patt-sol/9811002v1

Phys. Rev. Lett. 82, 85 (1999).

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 4 figures, to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.82.85

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.

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