Poisson vertex algebras in the theory of Hamiltonian equations

We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to integrability of Hamiltonian partial differential equations. Such an equation is called integrable if it can be included in an infinite hierarchy of compatible Hamiltonian equations, which admit an i...

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Bibliographic Details
Main Authors: Barakat, Aliaa, De Sole, Alberto, Kac, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer Japan 2011
Online Access:http://hdl.handle.net/1721.1/64418
https://orcid.org/0000-0002-2860-7811