2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155452We discover Hamiltonian structure of the complex Monge-Amp`ere equation when written in a first order two-component form. We present Lagrangian and Hamiltonian functions, a symplectic form and the Hamiltonian operator that determines the Poisson bracket.5 pages. Misprints in the formula (3.6) are correctedClassical PhysicsMathematical PhysicsGeneral PhysicsHamiltonian structure of the complex Monge-Ampère equationtext