Discreteness-Induced Oscillatory Instabilities of Dark Solitons
Magnus Johansson, Yuri S. Kivshar
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.
Create a lesson
Related papers
Pulse Shepherding and Multi-Channel Soliton Transmission in Bit-Parallel-Wavelength Optical Fiber Links
Yuri S. Kivshar, Elena A. Ostrovskaya
A Particle Model of Rolling Grain Ripples Under Waves
K. H. Andersen
Two-color multistep cascading and parametric soliton-induced waveguides
Yuri S. Kivshar, Andrey A. Sukhorukov, Solomon M. Saltiel
Pattern formation in inclined layer convection
Karen E. Daniels, Eberhard Bodenschatz
On the Properties of Two Pulses Propagating Simultaneously in Different Dispersion Regimes in a Nonlinear Planar Waveguide
Monika E. Pietrzyk
Formation and Pinch-off of Viscous Droplets in the Absence of Surface Tension: an Exact Result
Mark Mineev-Weinstein, Gary D. Doolen, John E. Pearson et al.