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 VriesMichiel Hazewinkel, Hans W. Capel, Eduard M. de Jager Springer Science & Business Media, 6 de des. 2012 - 516 pàgines 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. |
Continguts
5 | |
G CRIGHTON Applications of KdV | 39 |
FADDEEV Instructive History of the Quantum Inverse Scattering | 69 |
From Inte | 85 |
A J KOX Korteweg de Vries and Dutch Science at the Turn of | 91 |
Glories of the KdV Equa | 127 |
FRANK NIJHOFF and HANS CAPEL The Discrete Kortewegde Vries | 133 |
From | 159 |
A S FOKAS The Kortewegde Vries Equation and Beyond | 295 |
F GESZTESY and H HOLDEN On New Trace Formulae for Schrödinger | 315 |
B GRAMMATICOS V PAPAGEORGIOU and A RAMANI | 335 |
CHAOHAO GU Generalized SelfDual YangMills Flows Explicit | 349 |
B G KONOPELCHENKO Solitons of Curvature | 379 |
GEOFF A LATHAM and EMMA PREVIATO Darboux Transforma | 405 |
YOSHIMASA NAKAMURA and YUJI KODAMA Moment Problem | 435 |
A Ye REDNIKOV M G VELARDE Yu S RYAZANTSEV A A | 457 |
BOITI F PEMPINELLI and A POGREBKOV The KPI Equation | 175 |
R K BULLOUGH and P J CAUDREY Solitons and the Korteweg | 193 |
FRANCESCO CALOGERO Integrable Nonlinear Evolution Equations | 229 |
PETTER A CLARKSON and ELIZABETH L MANSFIELD Symme | 245 |
JEANCLAUDE SAUT Recent Results on the Generalized Kadomtsev | 477 |
LEEN VAN WIJNGAARDEN Evolving Solitons in Bubbly Flows | 507 |
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KdV ’95: Proceedings of the International Symposium held in Amsterdam, The ... Michiel Hazewinkel,Hans W. Capel,Eduard M. de Jager Previsualització no disponible - 2012 |
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