Liouville canonical form for compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies

O. I. Mokhov

备注：: 14 pages
发表信息：: Functional Analysis and its Applications, Vol. 37, No. 2, 2003, 103-113.

英文摘要：

We solve the problem of reducing to the simplest and convenient for our purposes, canonical form for an arbitrary pair of compatible nonlocal Poisson brackets of hydrodynamic type generated by metrics of constant Riemannian curvature in order to get an effective construction of the integrable hierarchies related to all these compatible Poisson brackets.

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