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arXiv · 1110.3780

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

Tomas Dohnal·Dmitry Pelinovsky
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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.

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Tomas Dohnal, Dmitry Pelinovsky. 2011-10-17. Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential. https://doi.org/10.1103/physreve.85.026605

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