Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-06-16
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.
Pavlov Maxim V.
Tsarev Sergey P.
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