Tetsu Mizumachi, Faculty of Mathematics, Kyushu University
"Instability of Vortex Solitons for 2D Focusing NLS"
We consider standing wave vortex solutions to nonlinear Schroedinger equations with pure power nonlinearity in two space dimensions. We investigate the profile shape in the limit of large vortex degree and show that large-degree standing wave solutions are unstable.
TUESDAY, September 20, 2005