Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions

Eugene Ferapontov, Antonio Moro, Vladimir Sokolov

Research output: Contribution to journalArticlepeer-review

15 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 languageEnglish
Pages (from-to)31-65
JournalCommunications in Mathematical Physics
Volume285
Issue number1
DOIs
Publication statusPublished - Jan 2009

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