|Universiteit Faculteit FNWI English version||5 januari 2004, e-mail|
Woensdag 28 januari 2004
AbstractThis equation formulated by de Vries in his thesis in 1894 remains since 1965 in the focus of mathematical research, notably after the discovery of solitons by Zabusky and Kruskal and developments in the theory of continuous dynamical systems.
The birth of this equation was a long process and spanned a period of about sixty years.
The subject of this talk is the genesis of the KdV-equation and we put on the stage the researches by Scott Russell, Boussinesq and Korteweg-de Vries concerning long waves in shallow water, the occurrence of stationarity and stability. Further we treat, if time is permitted, very shortly the importance of the KdV-equation in the theory of completely integrable systems and besides this some interesting applications in physics.
The lecture is intended for a "general" audience and by consequence technical details will be avoided.