Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate
Pattern Formation and Solitons
2007-06-07 v2
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 Schr\"odinger equations are studied and typical spatial wave distributions are discussed.
Keywords
Cite
@article{arxiv.nlin/0609022,
title = {Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate},
author = {G. A. El and Yu. G. Gladush and A. M. Kamchatnov},
journal= {arXiv preprint arXiv:nlin/0609022},
year = {2007}
}
Comments
11 pages, no figures