Hamiltonian structures for general PDEs
classification
🧮 math.DG
math-phmath.APmath.MPnlin.SI
keywords
equationhamiltonianbi-hamiltoniancamassa-holmconstructdeformationdifferentialequations
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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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