Miura-reciprocal transformations and localizable Poisson pencils
Mathematical Physics
2024-01-01 v1 math.MP
Abstract
We show that the equivalence classes of deformations of localizable semisimple Poisson pencils of hydrodynamic type with respect to the action of the Miura-reciprocal group contain a local representative and are in one-to-one correspondence with the equivalence classes of deformations of local semisimple Poisson pencils of hydrodynamic type with respect to the action of the Miura group.
Cite
@article{arxiv.2301.04475,
title = {Miura-reciprocal transformations and localizable Poisson pencils},
author = {P. Lorenzoni and S. Shadrin and R. Vitolo},
journal= {arXiv preprint arXiv:2301.04475},
year = {2024}
}
Comments
27 pages