Y. Nutku, M. B. Sheftel
Abstract
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We discover Hamiltonian structure of the complex Monge-Amp`ere equation when written in a first order two-component form. We present Lagrangian and Hamiltonian functions, a symplectic form and the Hamiltonian operator that determines the Poisson bracket.
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We discover Hamiltonian structure of the complex Monge-Amp`ere equation when written in a first order two-component form. We present Lagrangian and Hamiltonian functions, a symplectic form and the Hamiltonian operator that determines the Poisson bracket.
Key concepts: Poisson bracket, Hamiltonian (control theory), Symplectic geometry, Covariant Hamiltonian field theory, Superintegrable Hamiltonian system, Mathematical physics, First class constraint, Mathematics