2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34967We present a simple method to obtain vacuum solutions of Einstein's equations in parabolic coordinates starting from ones with cylindrical symmetries. Furthermore, a generalization of the method to a more general situation is given together with a discussion of the possible relations between our method and the Belinsky-Zakharov soliton-generating solutions.15 pages, version published in Class. Quantum GravGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext