2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129953Stationary 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 figuresPattern Formation and Solitonstext