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KdV '95 - Proceedings of the International Symposium Held in Amsterdam, The Netherlands, April 23-26, 1995 (Hardcover, Reprinted from ACTA Applicanda ed.)
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KdV '95 - Proceedings of the International Symposium Held in Amsterdam, The Netherlands, April 23-26, 1995 (Hardcover, Reprinted from ACTA Applicanda ed.)
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Exactly 100 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". In the 1960s 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, and so forth. 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.
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