title: Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential.
abstract: We examine numerically vortex families near band edges of the Bloch wave spectrum for the Gross-Pitaevskii equation with two-dimensional periodic potentials and for the discrete nonlinear Schrödinger 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 the way to the band edges.
authors.affiliation: Fakultät für Mathematik, Karlsruhe Institute of Technology, DE-76131 Karlsruhe, Germany.
authors.forename: Tomáš
authors.initials: T
authors.lastname: Dohnal
authors.forename: Dmitry
authors.initials: D
authors.lastname: Pelinovsky