Vortex rings for the Gross-Pitaevskii equation in R3
Journal
Journal des Mathematiques Pures et Appliquees
Journal Volume
100
Journal Issue
1
Pages
69-112
Date Issued
2013
Author(s)
Abstract
By rigorous mathematical method, we construct traveling wave solutions with a stationary or traveling vortex ring to the Gross-Pitaevskii equation. iût=ε2δû+(V~-|û|2)û, where the unknown function û is defined as û:R3×R→C, ε is a small positive parameter, and V~ is a smooth potential. © 2012 Elsevier Masson SAS.
Type
journal article