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Algebraic Aspects of Integrable Systems

In Memory of Irene Dorfman

  • Book
  • © 1997

Overview

Editors:
  1. A. S. Fokas

    1. Department of Mathematics, Imperial College, London, UK

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  2. I. M. Gelfand

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Complex Billiard Hamiltonian Systems and Nonlinear Waves

    • Mark S. Alber, Gregory G. Luther, Jerrold E. Marsden
    Pages 1-16

  3. Automorphic Pseudodifferential Operators

    • Paula Beazley Cohen, Yuri Manin, Don Zagier
    Pages 17-47

  4. On τ-Functions of Zakharov—Shabat and Other Matrix Hierarchies of Integrable Equations

    • L. A. Dickey
    Pages 49-74

  5. On the Hamiltonian Representation of the Associativity Equations

    • E. V. Ferapontov, O. I. Mokhov
    Pages 75-91

  6. A Plethora of Integrable Bi-Hamiltonian Equations

    • A. S. Fokas, P. J. Olver, P. Rosenau
    Pages 93-101

  7. Hamiltonian Structures in Stationary Manifold Coordinates

    • Allan P. Fordy, Simon D. Harris
    Pages 103-130

  8. Compatibility in Abstract Algebraic Structures

    • Benno Fuchssteiner
    Pages 131-141

  9. A Theorem of Bochner, Revisited

    • F. Alberto Grünbaum, Luc Haine
    Pages 143-172

  10. Obstacles to Asymptotic Integrability

    • Y. Kodama, A. V. Mikhailov
    Pages 173-204

  11. Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0

    • B. A. Kupershmidt
    Pages 205-216

  12. Trace Formulas and the Canonical 1-Form

    • Henry P. McKean
    Pages 217-235

  13. On some “Schwarzian” Equations and their Discrete Analogues

    • Frank Nijhoff
    Pages 237-260

  14. Poisson Brackets for Integrable Lattice Systems

    • W. Oevel
    Pages 261-283

  15. On the r-Matrix Structure of the Neumann System and its Discretizations

    • Orlando Ragnisco, Yuri B. Suris
    Pages 285-300

  16. Multiscale Expansions, Symmetries and the Nonlinear Schrödinger Hierarchy

    • Paolo Maria Santini
    Pages 301-313

  17. On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations

    • W. K. Schief, C. Rogers
    Pages 315-321

  18. Classical and Quantum Nonultralocal Systems on the Lattice

    • Michael Semenov-Tian-Shansky, Alexey Sevostyanov
    Pages 323-350
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Keywords

Editors and Affiliations

  • Department of Mathematics, Imperial College, London, UK

    A. S. Fokas

  • Department of Mathematics, Rutgers University, New Brunswick, USA

    I. M. Gelfand

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