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.
Integrability of Dirac reduced bi-Hamiltonian equations / DE SOLE, Alberto; V., Kac; Valeri, Daniele. - STAMPA. - 8(2014), pp. 13-32. - SPRINGER INDAM SERIES. [10.1007/978-3-319-05254-0].
Integrability of Dirac reduced bi-Hamiltonian equations
DE SOLE, ALBERTO;VALERI, DANIELE
2014
Abstract
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.File allegati a questo prodotto
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