Gap solitons in elongated geometries: The one-dimensional Gross-Pitaevskii equation and beyond

@article{Mateo2011GapSI,
  title={Gap solitons in elongated geometries: The one-dimensional Gross-Pitaevskii equation and beyond},
  author={Antonio Munoz Mateo and V. Delgado and Boris A. Malomed},
  journal={Physical Review A},
  year={2011},
  volume={83},
  pages={053610}
}
We report results of a systematic analysis of matter-wave gap solitons (GSs) in three-dimensional self-repulsive Bose-Einstein condensates (BECs) loaded into a combination of a cigar-shaped trap and axial optical-lattice (OL) potential. Basic cases of the strong, intermediate, and weak radial (transverse) confinement are considered, as well as settings with shallow and deep OL potentials. Only in the case of the shallow lattice combined with tight radial confinement, which actually has little… 
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