Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
Exactly Solvable and Integrable Systems
2009-11-13 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We investigate multi-dimensional Hamiltonian systems associated with constant Poisson brackets of hydrodynamic type. A complete list of two- and three-component integrable Hamiltonians is obtained. All our examples possess dispersionless Lax pairs and an infinity of hydrodynamic reductions.
Cite
@article{arxiv.0710.2012,
title = {Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions},
author = {E. V. Ferapontov and A. Moro and V. V. Sokolov},
journal= {arXiv preprint arXiv:0710.2012},
year = {2009}
}
Comments
34 pages