From recursion operators to Hamiltonian structures. The factorization method

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Kersten, P.H.M. and Krasil'shchik, I. (2002) From recursion operators to Hamiltonian structures. The factorization method. [Report]

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Abstract:
We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Our approach is based on the geometrical theory of nonlinear differential equations and is in a sense inverse to the well-known Magri scheme. As an illustrative example, we take the KdV equation and the Boussinesq equation. Further applications, including construction of previously unknown Hamiltonian structures, are in preparation.
Item Type:Report
Additional information:Imported from MEMORANDA
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/65811
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