Three computational approaches to weakly nonlocal Poisson brackets

Casati, Matteo, Lorenzoni, Paolo, Vitolo, Raffaele (2020) Three computational approaches to weakly nonlocal Poisson brackets. Studies in Applied Mathematics, . ISSN 0022-2526. (doi:10.1111/sapm.12302) (KAR id:80565)

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Official URL: https://doi.org/10.1111/sapm.12302

Abstract

We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets using the theory of distributions, pseudo‐differential operators, and Poisson vertex algebras, respectively. We show that the three approaches lead to similar computations and same results.

Item Type:	Article
DOI/Identification number:	10.1111/sapm.12302
Uncontrolled keywords:	mathematical physics; partial differential equations; solitons and integrable systems
Subjects:	Q Science
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Matteo Casati
Date Deposited:	20 Mar 2020 15:59 UTC
Last Modified:	09 Dec 2022 00:26 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/80565 (The current URI for this page, for reference purposes)

University of Kent Author Information

Casati, Matteo.

Creator's ORCID:	https://orcid.org/0000-0002-2207-4807
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