Skip to main content
SpringerLink
Log in

Discrete Integrable Systems

  • Book
  • © 2004

Overview

Editors:
  1. Basil Grammaticos
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Thamizharasi Tamizhmani
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Yvette Kosmann-Schwarzbach
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Physics (LNP, volume 644)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Download chapter PDF

  2. Three Lessons on the Painlevé Property and the Painlevé Equations

    • M.D. Kruskal, B. Grammaticos, T. Tamizhmani
    Pages 1-15

  3. Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems

    • Ralph Willox, Junkichi Satsuma
    Pages 17-55

  4. Special Solutions of Discrete Integrable Systems

    • Y. Ohta
    Pages 57-83

  5. Discrete Differential Geometry. Integrability as Consistency

    • Alexander I. Bobenko
    Pages 85-110

  6. Discrete Lagrangian Models

    • Yu.B. Suris
    Pages 111-184

  7. Symmetries of Discrete Systems

    • Pavel Winternitz
    Pages 185-243

  8. Discrete Painlevé Equations: A Review

    • B. Grammaticos, A. Ramani
    Pages 245-321

  9. Special Solutions for Discrete Painlevé Equations

    • K.M. Tamizhmani, T. Tamizhmani, B. Grammaticos, A. Ramani
    Pages 323-382

  10. Ultradiscrete Systems (Cellular Automata)

    • Tetsuji Tokihiro
    Pages 383-424

  11. Time in Science: Reversibility vs. Irreversibility

    • Yves Pomeau
    Pages 425-436

  12. Back Matter

    Download chapter PDF
Back to top

Keywords

About this book

This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.

Bibliographic Information

  • Book Title: Discrete Integrable Systems

  • Editors: Basil Grammaticos, Thamizharasi Tamizhmani, Yvette Kosmann-Schwarzbach

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/b94662

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Hardcover ISBN: 978-3-540-21425-0Published: 22 June 2004

  • Softcover ISBN: 978-3-642-05978-0Published: 09 December 2010

  • eBook ISBN: 978-3-540-40357-9Published: 09 June 2004

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XVIII, 441

  • Topics: Mathematical Methods in Physics, Dynamical Systems and Ergodic Theory, Partial Differential Equations

Publish with us

Policies and ethics

Back to top

Search

Navigation