Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates

Abstract

We study the dynamics of dark solitons in spatially inhomogeneous media with applications to cigar-shaped Bose–Einstein condensates trapped in a harmonic magnetic potential and a periodic potential representing an optical lattice. We distinguish and systematically investigate the cases with the optical lattice period being smaller, larger, or comparable to… (More)
DOI: 10.1016/j.matcom.2005.03.017

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