Hamiltonian structures for general PDEs
Differential Geometry
2009-10-04 v3 Mathematical Physics
Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
We sketch out a new geometric framework to construct Hamiltonian operators for generic, non-evolutionary partial differential equations. Examples on how the formalism works are provided for the KdV equation, Camassa-Holm equation, and Kupershmidt's deformation of a bi-Hamiltonian system.
Cite
@article{arxiv.0812.4895,
title = {Hamiltonian structures for general PDEs},
author = {Paul Kersten and Iosif Krasil'shchik and Alexander Verbovetsky and Raffaele Vitolo},
journal= {arXiv preprint arXiv:0812.4895},
year = {2009}
}
Comments
12 pages; v2, v3: minor corrections