2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126399In this paper, we consider an equivalence problem of second order partially differential equations (PDE) and a duality of the flat differential equation. For the equivalence problem, explicit form of invariants (curvatures) are given. We also investigate a duality associated with the flat equation using double fibrations. These double fibrations are described in terms of transformation groups.19pagesDifferential GeometryAnalysis of PDEs58A15Equivalence Problem for Second Order Partially Differential Equations and Double Fibration as a Flat Model Spacetext