Tri-Hamiltonian Structures of The Egorov Systems

Details Tri-Hamiltonian Structures of The Egorov Systems Tri-Hamiltonian Structures of The Egorov Systems

2003-06-16

arxiv.org/abs/nlin/0306026v1

Functional Analysis and Its Applications, Vol. 37, No. 1 (2003), pp. 32-45

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

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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