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

O. I. Mokhov
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Abstract

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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O. I. Mokhov. 2002-01-25. Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them. https://arxiv.org/abs/math/0201242

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