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# Classification of integrable Hamiltonian chains associated with Kuperschmidt's brackets

preprint
posted on 31.07.2006, 17:22 authored by Evgeny FerapontovEvgeny Ferapontov, D.G. Marshall, Maxim V. Pavlov
We characterize a class of integrable Hamiltonian hydrodynamic chains, based on the necessary condition for the integrability provided by the vanishing of the Haantjes tensor. We prove that the vanishing of the first few components of the Haantjes tensor is already sufficiently restrictive, and allows a complete description of the corresponding Hamiltonian densities. In each of the cases we were able to explicitly construct a generating function for conservation laws, thus establishing the integrability.

• Science

## Department

• Mathematical Sciences

181437 bytes

2006

## Notes

This is a pre-print.

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