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Poisson Brackets for Integrable Lattice Systems

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Algebraic Aspects of Integrable Systems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 26))

Abstract

Poisson brackets associated with Lax operators of lattice systems are considered. Linear brackets originate from various r-matrices on the algebra of (pseudo-) shift symbols. Quadratic brackets are investigated which provide Hamiltonian formulations for various reductions of the (modified) Lattice KP hierarchy.

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Author information

Authors and Affiliations

  1. FB 17-Mathematik, Universität Paderborn, D 33095, Paderborn, Germany

    W. Oevel

Authors
  1. W. Oevel
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Imperial College, SW7 2BZ, London, UK

    A. S. Fokas

  2. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    I. M. Gelfand

Additional information

In remembrance of our dear colleague Irene Dorfman.

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© 1997 Birkhäuser Boston

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Oevel, W. (1997). Poisson Brackets for Integrable Lattice Systems. In: Fokas, A.S., Gelfand, I.M. (eds) Algebraic Aspects of Integrable Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 26. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2434-1_13

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  • DOI: https://doi.org/10.1007/978-1-4612-2434-1_13

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7535-0

  • Online ISBN: 978-1-4612-2434-1

  • eBook Packages: Springer Book Archive

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