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Classification of integrable Hamiltonian chains associated with Kuperschmidt's brackets
preprint
posted on 2006-07-31, 17:22 authored by Evgeny FerapontovEvgeny Ferapontov, Karima KhusnutdinovaKarima Khusnutdinova, D.G. Marshall, Maxim V. PavlovWe 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.
History
School
- Science
Department
- Mathematical Sciences
Pages
181437 bytesPublication date
2006Notes
This is a pre-print.Language
- en