The KdV hierarchy is a hierarchy of integrable equations generalizing the KdV equation. Using the modified Muria transform, we first relate it to the Gardner hierarchy, and by exploiting the idea of approximate flow initiated by Killip-Visan, we show that the whole hierarchy is well-posed for initial data in H-1(ℝ).
This is based on joint work with H.Koch and F. Klaus.
This video was produced by the SITE Research Center at New York University, as part of their talk series.
