Solitons in a modified Gross-Pitaevskii approximation in one dimension
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 reproduce, using the density functional approach, the stationaryframe results of Kolomeisky et al. for a repulsive interaction. We also find a new 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. We provide a general treatment of stationary solutions which includes the above solutions as special cases. This treatment also leads to a variety of stationary wave solutions for both attractive and repulsive interactions. PACS: 03,75.Fi, 05.30.Jp Typeset using REVTEX 1
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