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  • Conference proceedings
  • © 1995

KdV ’95

Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries

Editors:

  1. Michiel Hazewinkel
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  2. Hans W. Capel
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  3. Eduard M. Jager
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Table of contents (29 papers)

  1. Front Matter

    Pages i-2
    PDF

  2. Invited Plenary Lectures

    1. Front Matter

      Pages 3-3
      PDF

    2. Integrability, Computation and Applications

      • M. J. Ablowitz, S. Chakravarty, B. M. Herbst
      Pages 5-37

    3. Applications of KdV

      • D. G. Crighton
      Pages 39-67

    9. The Discrete Korteweg—de Vries Equation

      • Frank Nijhoff, Hans Capel
      Pages 133-158

  3. Invited Contributions

    1. Front Matter

      Pages 173-173
      PDF

    2. The KPI Equation with Unconstrained Initial Data

      • M. Boiti, F. Pempinelli, A. Pogrebkov
      Pages 175-192

    5. Symmetry Reductions and Exact Solutions of Shallow Water Wave Equations

      • Petter A. Clarkson, Elizabeth L. Mansfield
      Pages 245-276

    9. On New Trace Formulae for Schrödinger Operators

      • F. Gesztesy, H. Holden
      Pages 315-333
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About this book

Exactly one hundred years ago, in 1895, G. de Vries, under the supervision of D. J. Korteweg, defended his thesis on what is now known as the Korteweg-de Vries Equation. They published a joint paper in 1895 in the Philosophical Magazine, entitled `On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave', and, for the next 60 years or so, no other relevant work seemed to have been done. In the 1960s, however, research on this and related equations exploded. There are now some 3100 papers in mathematics and physics that contain a mention of the phrase `Korteweg-de Vries equation' in their title or abstract, and there are thousands more in other areas, such as biology, chemistry, electronics, geology, oceanology, meteorology, etc. And, of course, the KdV equation is only one of what are now called (Liouville) completely integrable systems. The KdV and its relatives continually turn up in situations when one wishes to incorporate nonlinear and dispersive effects into wave-type phenomena.
This centenary provides a unique occasion to survey as many different aspects of the KdV and related equations. The KdV equation has depth, subtlety, and a breadth of applications that make it a rarity deserving special attention and exposition.
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Keywords

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Bibliographic Information

  • Book Title: KdV ’95

  • Book Subtitle: Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries

  • Editors: Michiel Hazewinkel, Hans W. Capel, Eduard M. Jager

  • DOI: https://doi.org/10.1007/978-94-011-0017-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1995

  • Hardcover ISBN: 978-0-7923-3467-5Published: 31 May 1995

  • Softcover ISBN: 978-94-010-4011-2Published: 21 October 2012

  • eBook ISBN: 978-94-011-0017-5Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VI, 516

  • Topics: Partial Differential Equations, Integral Equations, Potential Theory, Applications of Mathematics

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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