Hamiltonian structures for general PDEs

Details Hamiltonian structures for general PDEs Hamiltonian structures for general PDEs

2008-12-29

arxiv.org/abs/0812.4895v3

Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008 (B. Kruglikov, V. Lychagin, and E. St

Mathematics

Differential Geometry

12 pages; v2, v3: minor corrections

Scientific paper

10.1007/978-3-642-00873-3_9

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.

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