2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59617We address the open problem of existence of singularities for the complex Ginzburg-Landau equation. Using a combination of rigourous results and numerical computations, we describe a countable family of self-similar singularities. Our analysis includes the super-critical non-linear Schroedinger equation as a special case, and most of the described singularities are new even in that situation. We also consider the problem of stability of these singularities.23 pages, 18 figures (eps)Analysis of PDEsMathematical Physics35Q55text