Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

A. Moro; B.A. Dubrovin; B.A. Dubrovin; C.P. Boyer; D.B. Fairlie; E. V. Ferapontov; E.V. Ferapontov; E.V. Ferapontov; E.V. Ferapontov; E.V. Ferapontov; I.M. Krichever; J. Gibbons; J. Gibbons; J. Haantjes; M. Blaszak; M. Blaszak; M. Burnat; M. Manas; M.V. Pavlov; O.I. Mokhov; S.K. Godunov; S.P. Tsarev; V. V. Sokolov; Z. Peradzyński

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Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

Authors: A. Moro
B.A. Dubrovin
B.A. Dubrovin
C.P. Boyer
D.B. Fairlie
E. V. Ferapontov
E.V. Ferapontov
E.V. Ferapontov
E.V. Ferapontov
E.V. Ferapontov
I.M. Krichever
J. Gibbons
J. Gibbons
J. Haantjes
M. Blaszak
M. Blaszak
M. Burnat
M. Manas
M.V. Pavlov
O.I. Mokhov
S.K. Godunov
S.P. Tsarev
V. V. Sokolov
Z. Peradzyński
Publication date: 10 October 2007
Publisher: 'Springer Science and Business Media LLC'
Doi

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.Comment: 34 page

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