Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them
Differential Geometry
2010-01-04 v1 Mathematical Physics
math.MP
Symplectic Geometry
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math/0201242,
title = {Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them},
author = {O. I. Mokhov},
journal= {arXiv preprint arXiv:math/0201242},
year = {2010}
}
Comments
15 pages