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✦   LIBER   ✦

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

✍ Scribed by Michiel Hazewinkel, Hans W. Capel, Eduard M. de Jager


Book ID
127428887
Publisher
Kluwer Academic
Year
1995
Tongue
English
Weight
4 MB
Category
Library
City
Dordrecht; Boston
ISBN
0792334671

No coin nor oath required. For personal study only.

✦ Synopsis


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.