@article{ISI:000170857800004,
 abstract = {A modified Gross-Pitaevskii approximation was recently introduced for
bosons in dimension d less than or equal to 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.},
 author = {Bhaduri, RK and Ghosh, S and Murthy, MVN and Sen, D},
 doi = {10.1088/0305-4470/34/34/302},
 issn = {0305-4470},
 journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL},
 month = {AUG 31},
 number = {34},
 orcid-numbers = {Ghosh, Sankalpa/0000-0002-0289-5173},
 pages = {6553-6564},
 researcherid-numbers = {Ghosh, Sankalpa/B-7470-2009},
 times-cited = {5},
 title = {Solitons in a one-dimensional interacting Bose-Einstein system},
 unique-id = {ISI:000170857800004},
 volume = {34},
 year = {2001}
}