2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56138We give the Lax representations for for the elliptic, hyperbolic and homogeneous second order Monge-Ampere equations. The connection between these equations and the equations of hydrodynamical type give us a scalar dispersionless Lax representation. A matrix dispersive Lax representation follows from the correspondence between sigma models, a two parameter equation for minimal surfaces and Monge-Ampere equations. Local as well nonlocal conserved densities are obtained.Plain TeX, 15 pagesHigh Energy Physics - TheoryExactly Solvable and Integrable SystemsOn the Integrability of a Class of Monge-Ampere Equationstext