Hamiltonian structure of the complex Monge-Amp\`ere equation
Classical Physics
2008-02-24 v2 Mathematical Physics
math.MP
General Physics
Abstract
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.
Cite
@article{arxiv.0801.2663,
title = {Hamiltonian structure of the complex Monge-Amp\`ere equation},
author = {Y. Nutku and M. B. Sheftel},
journal= {arXiv preprint arXiv:0801.2663},
year = {2008}
}
Comments
5 pages. Misprints in the formula (3.6) are corrected