Non-local Poisson structures and applications to the theory of integrable systems
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applicability of the Lenard–Magri scheme of integrability to a pair of compatible non-local Poisson structures. We apply this...
Main Authors: | De Sole, Alberto, Kac, Victor |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
Springer-Verlag
2015
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Online Access: | http://hdl.handle.net/1721.1/92916 https://orcid.org/0000-0002-2860-7811 |
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