2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35083Following past investigations, we explore the symmetries of the Hamilton-Jacobi cosmological equations in the generalized patch formalism describing braneworld and tachyon scenarios. Dualities between different patches are established and regular dual solutions, either contracting or phantom-like, are constructed.5 pages, 1 figureGeneral Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - Theorytext