Communications in Mathematical Physics

, Volume 285, Issue 1, pp 31–65 | Cite as

Hamiltonian Systems of Hydrodynamic Type in 2 + 1 Dimensions

Article

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.

Keywords

Hamiltonian System Dispersion Curve Equivalence Transformation Hydrodynamic Type Hamiltonian Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of Mathematical SciencesLoughborough UniversityLoughboroughUnited Kingdom
  2. 2.Landau Institute for Theoretical PhysicsMoscowRussia

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