Nutku, Y.Sarıoğlu, Ö.2016-02-082016-02-0819930375-9601http://hdl.handle.net/11693/26050We have identified a completely integrable family of Monge-Ampère equations through an examination of their Hamiltonian structure. Starting with a variational formulation of the Monge-Ampère equations we have constructed the first Hamiltonian operator through an application of Dirac's theory of constraints. The completely integrable class of Monge-Ampère equations are then obtained by solving the Jacobi identities for a sufficiently general form of the second Hamiltonian operator that is compatible with the first. © 1993.EnglishArticle10.1016/0375-9601(93)90277-71873-2429