# Integrability of Dirac reduced bi-Hamiltonian equations

@article{Sole2014IntegrabilityOD,
title={Integrability of Dirac reduced bi-Hamiltonian equations},
author={Alberto De Sole and Victor G. Kac and Daniele Valeri},
journal={arXiv: Mathematical Physics},
year={2014},
pages={13-32}
}
• Published 23 January 2014
• Mathematics
• arXiv: Mathematical Physics
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE’s, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies.
6 Citations

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