Hamiltonian structures for general PDEs
  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. 
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky, and Raffaele   Vitolo