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
  • Michiel Hazewinkel
  • Hans W. Capel
  • Eduard M. de Jager

Table of contents

  1. Front Matter
    Pages i-2
  2. Invited Plenary Lectures

  3. Invited Contributions

    1. Front Matter
      Pages 173-173
    2. M. Boiti, F. Pempinelli, A. Pogrebkov
      Pages 175-192
    3. Petter A. Clarkson, Elizabeth L. Mansfield
      Pages 245-276
    4. F. Gesztesy, H. Holden
      Pages 315-333
    5. B. Grammaticos, V. Papageorgiou, A. Ramani
      Pages 335-348
    6. W. Hereman, W. Zhuang
      Pages 361-378
    7. B. G. Konopelchenko
      Pages 379-387
    8. R. A. Kraenkel, J. G. Pereira, M. A. Manna
      Pages 389-403
    9. A. Ye. Rednikov, M. G. Velarde, Yu. S. Ryazantsev, A. A. Nepomnyashchy, V. N. Kurdyumov
      Pages 457-475
    10. Leen Van Wijngaarden
      Pages 507-516

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.


dynamical systems ordinary differential equation wave equation

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