Integrability of Dirac Reduced Bi-Hamiltonian Equations

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 fro...

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Bibliographic Details
Main Authors: De Sole, Alberto, Valeri, Daniele, Kac, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Springer International Publishing AG 2018
Online Access:http://hdl.handle.net/1721.1/115965
https://orcid.org/0000-0002-2860-7811