2016/11/09 by Ludovick Gagnon, Gagnon, Ludovick
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1611.02899
We consider in this paper the problem of the Lagrangian controllability for the Korteweg-de Vries 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 KdV equation such that the flow associated to this solution exit the domain in time T.