Anton DESYATNIKOV, Dmitry PELINOVSKI and Yuri KIVSHAR
Nonlinear Physics Centre,
Research School of Physical Sciences and Engineering,
Australian National University,
Le Couter 59, Mills Road,
Canberra ACT 0200,
AUSTRALIA
E-mail: asd124@rsphysse.anu.edu.au, dmpeli@math.mcmaster.ca, ysk124@rsphysse.anu.edu.au

Multi-component vortex solitons: stability vs. angular momentum

Abstract:
We examine the linear stability problem for a vortex soliton with infinitely many mutually incoherent components interacting via degenerate Kerr-type nonlinearity. Due to the rotational symmetry, the linear stability problem reduces to the two-component system with the total angular momentum (a vortex spin) as a control parameter. Stabilization of the composite vortices with a smaller spin is demonstrated numerically.