Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential
arXiv:1110.3780 · doi:10.1103/PhysRevE.85.026605
Abstract
We examine numerically vortex families near band edges of the Bloch wave spectrum in the Gross--Pitaevskii equation with a two-dimensional periodic potential and in the discrete nonlinear Schroedinger equation. We show that besides vortex families that terminate at a small distance from the band edges via fold bifurcations there exist vortex families that are continued all way to the band edges.
12 pages, 8 figures
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