title: Nonlinear Schrodinger flow in a periodic potential
abstract: We report a study of solutions of the defocusing nonlinear Schrodinger equation in a spatially periodic potential. The ground-state solution and the steady flows of the system are studied analytically. Above a critical current, a steady state no longer exists and time-dependent solutions are generated, which are numerically simulated and described.
authors.affiliation: Center for Nonlinear Phenomena and Complex Systems, Universite Libre de Bruxelles, Brussels, Belgium.
authors.initials: F
authors.lastname: Barra
authors.initials: P
authors.lastname: Gaspard
authors.initials: S
authors.lastname: Rica