Rapid convergence of a Galerkin projection of the KdV equation

In this Note, it is shown that a Fourier Galerkin approximation of the Korteweg–de Vries equation with periodic boundary conditions converges exponentially fast if the initial data can be continued analytically to a strip about the real axis. To cite this article: H. Kalisch, C. R. Acad. Sci. Paris, Ser. I 341 (2005).