Classification of 1+0 two-dimensional Hamiltonian operators
Mathematical Physics
2025-04-15 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these operators is presented in two and three components, analyzing both the cases of degenerate and non degenerate leading coefficients.
Cite
@article{arxiv.2410.22455,
title = {Classification of 1+0 two-dimensional Hamiltonian operators},
author = {Alessandra Rizzo},
journal= {arXiv preprint arXiv:2410.22455},
year = {2025}
}