English

Three computational approaches to weakly nonlocal Poisson brackets

Mathematical Physics 2020-02-28 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

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.

Cite

@article{arxiv.1903.08204,
  title  = {Three computational approaches to weakly nonlocal Poisson brackets},
  author = {M. Casati and P. Lorenzoni and R. Vitolo},
  journal= {arXiv preprint arXiv:1903.08204},
  year   = {2020}
}

Comments

47 pages

R2 v1 2026-06-23T08:13:17.204Z