We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper to show that all W-algebras W(,) carry such a hierarchy. As an application, we show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.
Classical affine W -Algebras for glN and associated integrable Hamiltonian hierarchies / De Sole, Alberto; Kac, Victor; Valeri, Daniele. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 348:1(2016), pp. 265-319. [10.1007/s00220-016-2632-9]
Classical affine W -Algebras for glN and associated integrable Hamiltonian hierarchies
DE SOLE, ALBERTO;VALERI, DANIELE
2016
Abstract
We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper to show that all W-algebras W(,) carry such a hierarchy. As an application, we show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.| File | Dimensione | Formato | |
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