2006/09/30 by G. A. Él, G. A. El, Yu. G. Gladush +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Strong Light-Matter Interactions #nlin.PS
paper · pdf · doi:10.1088/1751-8113/40/4/003
published as J.Phys. A: Math. Theor. 40, 611-619 (2007) · 11 pages, no figures
arxiv created 2006/10/03 · openalex publication_date 2007/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Stationary periodic solutions of the two-dimensional Gross–Pitaevskii equation are obtained and analysed 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.