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.
Hamiltonian structures for general PDEs
VITOLO, Raffaele
2009-01-01
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.File in questo prodotto:
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