An integrable family of Monge-Ampère equations and their multi-Hamiltonian structure
Physics Letters A
Elsevier BV * North-Holland
270 - 274
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We 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.