Poisson brackets between conserved quantities are a fundamental tool in the theory of integrable systems. The subclass of weakly nonlocal Poisson brackets occurs in many significant integrable systems. Proving that a weakly nonlocal differential operator defines a Poisson bracket can be challenging. We propose a computational approach to this problem through the identification of such operators with superfunctions on supermanifolds.
Titolo: | Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds |
Autori: | |
Data di pubblicazione: | 2020 |
Rivista: | |
Abstract: | Poisson brackets between conserved quantities are a fundamental tool in the theory of integrable systems. The subclass of weakly nonlocal Poisson brackets occurs in many significant integrable systems. Proving that a weakly nonlocal differential operator defines a Poisson bracket can be challenging. We propose a computational approach to this problem through the identification of such operators with superfunctions on supermanifolds. |
Handle: | http://hdl.handle.net/11587/438797 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
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