T. Dohnal and D. Pelinovsky
Vortex families near a spectral edge in the Gross-Pitaevskii equation with a
two-dimensional periodic potential
Physical Review E 85, 026605 (2012)
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 Schrodinger 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.
Keywords:
vortices in periodic potentials, Gross-Pitaevskii equation,
discrete nonlinear Schrodinger equations, numerical approximations