Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential

Details Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential

2011-10-17

arxiv.org/abs/1110.3780v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 8 figures

Scientific paper

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.

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