Tri-Hamiltonian Structures of The Egorov Systems
Exactly Solvable and Integrable Systems
2007-05-23 v1
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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Cite
@article{arxiv.nlin/0306026,
title = {Tri-Hamiltonian Structures of The Egorov Systems},
author = {M. V. Pavlov and S. P. Tsarev},
journal= {arXiv preprint arXiv:nlin/0306026},
year = {2007}
}
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15 pages