Integrability of Kupershmidt deformations
Exactly Solvable and Integrable Systems
2010-01-04 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We prove that the Kupershmidt deformation of a bi-Hamiltonian system is itself bi-Hamiltonian. Moreover, Magri hierarchies of the initial system give rise to Magri hierarchies of Kupershmidt deformations as well. Since Kupershmidt deformations are not written in evolution form, we start with an outline a geometric framework to study Hamiltonian properties of general non-evolution differential equations, developed in [2] (see also arXiv:0812.4895).
Cite
@article{arxiv.0812.4902,
title = {Integrability of Kupershmidt deformations},
author = {Paul Kersten and Iosif Krasil'shchik and Alexander Verbovetsky and Raffaele Vitolo},
journal= {arXiv preprint arXiv:0812.4902},
year = {2010}
}
Comments
11 pages; v2: minor corrections