Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them

Details Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them

2002-01-25

arxiv.org/abs/math/0201242v1

Theor. Math. Phys., Vol. 132, No. 1, 2002, 942-954.

Mathematics

Differential Geometry

15 pages

Scientific paper

In the present work, the integrable bi-Hamiltonian hierarchies related to
compatible nonlocal Poisson brackets of hydrodynamic type are effectively
constructed. For achieving this aim, first of all, the problem on the canonical
form of a special type for compatible nonlocal Poisson brackets of hydrodynamic
type is solved.

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