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

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

2002-01-23

arxiv.org/abs/math/0201223v1

Functional Analysis and its Applications, Vol. 37, No. 2, 2003, 103-113.

Mathematics

Differential Geometry

14 pages

Scientific paper

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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