TY - JOUR
T1 - Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions
AU - Ferapontov, Eugene
AU - Moro, Antonio
AU - Sokolov, Vladimir
PY - 2009/1
Y1 - 2009/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/55949083379
U2 - 10.1007/s00220-008-0522-5
DO - 10.1007/s00220-008-0522-5
M3 - Article
SN - 0010-3616
VL - 285
SP - 31
EP - 65
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -