2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141910The Cauchy problem for the Gross--Pitaevsky equation with quadratic nonlocal nonlinearity is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Gross--Pitaevsky equations is considered.Mathematical Physics03.65.Sq, 05.20-y, 05.70text