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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2291

Title: Classification of integrable Hamiltonian chains associated with Kuperschmidt's brackets
Authors: Ferapontov, E.V.
Khusnutdinova, Karima R.
Marshall, D.G.
Pavlov, M.V.
Keywords: Hamiltonian hydrodynamic chains
integrability
Haantjes tensor
reductions
conservation laws
Issue Date: 2006
Abstract: 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.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/2291
Appears in Collections:Pre-prints (Maths)

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