2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80291We reformulate the one-dimensional complex Ginzburg-Landau equation as a fourth order ordinary differential equation in order to find stationary spatially-periodic solutions. Using this formalism, we prove the existence and stability of stationary modulated-amplitude wave solutions. Approximate analytic expressions and a comparison with numerics are given.29 pages, 4 figuresPattern Formation and SolitonsChaotic Dynamicstext