Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions

Eugene Ferapontov; Antonio Moro; Vladimir Sokolov

doi:10.1007/s00220-008-0522-5

Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions

Eugene Ferapontov, Antonio Moro, Vladimir Sokolov

Mathematics, Physics and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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.

Original language	English
Pages (from-to)	31-65
Journal	Communications in Mathematical Physics
Volume	285
Issue number	1
DOIs	https://doi.org/10.1007/s00220-008-0522-5
Publication status	Published - Jan 2009

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title = "Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions",

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.",

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions

Abstract

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