An integrable family of Monge-Ampère equations and their multi-Hamiltonian structure

Date

1993

Authors

Nutku, Y.
Sarıoğlu, Ö.

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Abstract

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.

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Physics Letters A

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Elsevier BV * North-Holland

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Published Version (Please cite this version)

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English