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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 (Paperback, Softcover reprint of the original 1st ed. 1995)
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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 (Paperback, Softcover reprint of the original 1st ed. 1995)
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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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