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Tri-Hamiltonian Structures of The Egorov Systems

M. V. Pavlov·S. P. Tsarev
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Abstract

The description of the Egorov hydrodynamic type systems is presented in language of conservation laws. Under extra conditions of semisimplicity and homogeneity tri-Hamiltonian structures of such systems are described. Even and odd cases are related with flat and metric of constant curvature, respectively. Some important and well-known examples like averaged by Whitham approach and dispersionless limits of vector NLS and vector LSR are investigated.

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M. V. Pavlov, S. P. Tsarev. 2003-06-16. Tri-Hamiltonian Structures of The Egorov Systems. https://arxiv.org/abs/nlin/0306026

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