Three computational approaches to weakly nonlocal Poisson brackets

M. Casati; P. Lorenzoni; R. Vitolo

Three computational approaches to weakly nonlocal Poisson brackets

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arxiv 1903.08204 v1 pith:AJJLXFWS submitted 2019-03-19 math-ph math.MPnlin.SI

M. Casati , P. Lorenzoni , R. Vitolo This is my paper · ORCID

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keywords poissonthreeapproachesbracketsnonlocalweaklyalgebraschecking

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

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