Title: Orbital stability of the black soliton for the Gross-Pitaevskii equation

Authors: Fabrice Bethuel, Phillipe Gravejat, Jean-Claude Saut and Didier Smets

Issue: Volume 57 (2008), Issue 6, 2611-2642

Abstract: We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = \th(x/\sqrt{2})$, for the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.