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Table of contents

  1. Front Matter
  2. Pages 1-4
  3. M. J. Ablowitz
    Pages 5-29
  4. B. Grammaticos, A. Ramani
    Pages 30-94
  5. J. Hietarinta
    Pages 95-103
  6. F. Magri, P. Casati, G. Falqui, M. Pedroni
    Pages 256-296
  7. J. Satsuma
    Pages 297-313
  8. M. A. Semenov-Tian-Shansky
    Pages 314-377
  9. Back Matter

About these proceedings

Introduction

The theory of nonlinear systems and, in particular, of integrable systems is related to several very active fields of research in theoretical physics. Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering techniques, singularity analysis, the bilinear formalism, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classical and quantum integrability, bihamiltonian structures. The book will be of considerable interest to those who wish to study integrable systems, and to follow the future developments, both in mathematics and in theoretical physics, of the theory of integrability.

Keywords

Hamiltonian Hamiltonian structure bifurcation bilinear formalism chaos integrable system nonlinear system nonlinear systems quantum integrable systems scattering singularity singularity analysis soliton theoretical physics

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0113690
  • Copyright Information Springer-Verlag 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63353-2
  • Online ISBN 978-3-540-69521-9
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site