Control of the KdV equation
Institut Elie Cartan
Université Henri Poincare Nancy 1
54506 Vandoeuvre-lès-Nancy Cedex
1 DESCRIPTION OF THE PROBLEM
The Korteweg-de Vries (KdV) equation is the simplest model for unidirectional propagation of small amplitude long waves in nonlinear dispersive systems. It occurs in various physical contexts (e.g., water waves, plasma physics, nonlinear optics). It reads
2 MOTIVATION AND HISTORY OF THE PROBLEM
The KdV equation has been first introduced ...