Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

Details Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

2007-10-10

arxiv.org/abs/0710.2012v1

Commun. Math. Phys., 285, pp. 31-65 (2008)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

34 pages

Scientific paper

10.1007/s00220-008-0522-5

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.

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