Solitons in a one-dimensional interacting Bose-Einstein system
نویسندگان
چکیده
A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension d ≤ 2 by Kolomeisky et al. (Phys. Rev. Lett. 85 1146 (2000)). We use the density functional approach with sixth-degree interaction energy term in the Bose field to reproduce the stationary-frame results of Kolomeisky et al. for a one-dimensional Bose-Einstein system with a repulsive interaction. We also find a soliton solution for an attractive interaction, which may be boosted to a finite velocity by a Galilean transformation. The stability of such a soliton is discussed analytically. We provide a general treatment of stationary solutions in one dimension which includes the above solutions as special cases. This treatment leads to a variety of stationary wave solutions for both attractive and repulsive interactions. PACS: 03,75.Fi, 05.30.Jp Typeset using REVTEX
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