Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them
arXiv:math/0201242
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.
15 pages