AN INTEGRABLE FAMILY OF MONGE-AMPERE EQUATIONS AND THEIR MULTI-HAMILTONIAN STRUCTURE

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1993-01-01

Author

NUTKU, Yavuz
Sarıoğlu, Bahtiyar Özgür

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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.

Subject Keywords

Systems

URI

https://hdl.handle.net/11511/34660

Journal

Physics Letters A

DOI

https://doi.org/10.1016/0375-9601(93)90277-7

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Department of Physics, Article

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Citation Formats

Y. NUTKU and B. Ö. Sarıoğlu, “AN INTEGRABLE FAMILY OF MONGE-AMPERE EQUATIONS AND THEIR MULTI-HAMILTONIAN STRUCTURE,” Physics Letters A, pp. 270–274, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34660.