2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99338A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a non-flat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find solutions of the Einstein equations in D-dimensional space-time with D-2 commuting Killing vectors using the complete integrability of this system. The method appears also to be promising for the analysis of the uniqueness questions for higher-dimensional black holes.11 pagesHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyComplete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holestext