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} }
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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