Tri-Hamiltonian Structures of The Egorov Systems
classification
🌊 nlin.SI
keywords
systemsegorovstructurestri-hamiltonianvectorapproachaveragedcases
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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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