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.
Casati, M., Lorenzoni, P., Vitolo, R. (2020). Three computational approaches to weakly nonlocal Poisson brackets. STUDIES IN APPLIED MATHEMATICS, 144(4), 412-448 [10.1111/sapm.12302].
Three computational approaches to weakly nonlocal Poisson brackets
Lorenzoni P.;
2020
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.
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