Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate
arXiv:nlin/0609022 · doi:10.1088/1751-8113/40/4/003
Abstract
Stationary periodic solutions of the two-dimensional Gross-Pitaevskii equation are obtained and analyzed for different parameter values in the context of the problem of a supersonic flow of a Bose-Einstein condensate past an obstacle. The asymptotic connections with the corresponding periodic solutions of the Korteweg-de Vries and nonlinear Schrödinger equations are studied and typical spatial wave distributions are discussed.
11 pages, no figures