Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions
classification
🌊 nlin.SI
math-phmath.DGmath.MP
keywords
hydrodynamichamiltoniansystemstypeassociatedbracketscompleteconstant
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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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