Collapse of triaxial bright solitons in atomic Bose-Einstein condensates
arXiv:0910.0035 · doi:10.1016/j.physleta.2009.09.074
Abstract
We study triaxial bright solitons made of attractive Bose-condensed atoms characterized by the absence of confinement in the longitudinal axial direction but trapped by an anisotropic harmonic potential in the transverse plane. By numerically solving the three-dimensional Gross-Pitaevskii equation we investigate the effect of the transverse trap anisotropy on the critical interaction strength above which there is the collapse of the condensate. The comparison with previous predictions [Phys. Rev. A {\bf 66}, 043619 (2002)] shows significant differences for large anisotropies.
Accepted for the publication in Phys. Lett. A