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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: Hazewinkel, Michiel, Capel, Hans W., de Jager, Eduard M. (Eds.)

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eBook $59.99
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  • ISBN 978-94-011-0017-5
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Softcover $79.99
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  • ISBN 978-94-010-4011-2
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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.

Table of contents (29 chapters)

  • Integrability, Computation and Applications

    Ablowitz, M. J. (et al.)

    Pages 5-37

  • Applications of KdV

    Crighton, D. G.

    Pages 39-67

  • Instructive History of the Quantum Inverse Scattering Method

    Faddeev, L.

    Pages 69-84

  • Optical Solitons in Communications: From Integrability To Controllability

    Hasegawa, Akira

    Pages 85-90

  • Korteweg, de Vries, and Dutch Science at the Turn of the Century

    Kox, A. J.

    Pages 91-92

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-94-011-0017-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-94-010-4011-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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. de Jager
Copyright
1995
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-0017-5
DOI
10.1007/978-94-011-0017-5
Softcover ISBN
978-94-010-4011-2
Edition Number
1
Number of Pages
VI, 516
Topics