Hamiltonian structures for general PDEs
arXiv:0812.4895 · doi:10.1007/978-3-642-00873-3_9
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.
12 pages; v2, v3: minor corrections