2 papers
math.FA2007
On the symplectic phase space of KdV
T. Kappeler, F. Serier, P. Topalov
We prove that the Birkhoff map $\Om$ for KdV constructed on $H^{-1}_0(\T)$ can be interpolated between $H^{-1}_0(\T)$ and $L^2_0(\T)$. In particular, the symplectic phase space $H^…
math.SP2005
The Miura Map on the Line
Thomas Kappeler, Peter Perry, Mikhail Shubin +1
The Miura map (introduced by Miura) is a nonlinear map between function spaces which transforms smooth solutions of the modified Korteweg - de Vries equation (mKdV) to solutions of…