Computing Casimir invariants from Pfaffian systems
Mathematical Physics
2019-10-10 v1 math.MP
Symplectic Geometry
Exactly Solvable and Integrable Systems
Fluid Dynamics
Plasma Physics
Abstract
We describe a method for computing Casimir invariants that is applicable to both finite and infinite-dimensional Poisson brackets. We apply the method to various finite and infinite-dimensional examples, including a Poisson bracket embodying both finite and infinite-dimensional structure.
Keywords
Cite
@article{arxiv.1910.03896,
title = {Computing Casimir invariants from Pfaffian systems},
author = {T. W. Yudichak and Benito Hernández-Bermejo and P. J. Morrison},
journal= {arXiv preprint arXiv:1910.03896},
year = {2019}
}