SIAM Journal on Control and Optimization, Vol.54, No.6, 3152-3173, 2016
LAGRANGIAN CONTROLLABILITY OF THE 1-DIMENSIONAL KORTEWEG-DE VRIES EQUATION
We consider in this paper the problem of the Lagrangian controllability for the KdV equation. Using the N-solitons solution, we prove that, for any length of the spatial domain L > 0 and any time T > 0, it is possible to choose appropriate boundary controls of the KdV equation such that the flow associated with this solution exits the domain in time T.