Bhaduri, RK and Ghosh, Sankalpa and Murthy, MVN (2001) Solitons in a one-dimensional interacting Bose-Einstein system. In: Journal of Physics. A. Mathematical and General, 34 . pp. 6553-6564.
A modified Gross-Pitaevskii approximation was recently introduced for bosons in dimension d≤2 by Kolomeisky et al (Kolomeisky E B, Newman T J, Straley J P and Qi X 2000 Phys. Rev. Lett. 85 1146). We use the density-functional approach with a 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.
|Item Type:||Journal Article|
|Additional Information:||The copyright belongs to IOP Publishing Ltd.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies|
|Date Deposited:||12 Nov 2007|
|Last Modified:||19 Sep 2010 04:41|
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