Department Colloquium
Department of Mathematics
Princeton University
February 16th, 2000
Integrability and Near Integrability in Infinite Dimensions
This is joint work with Xin Zhou. We consider a model problem illustrating various novel features of near integrable systems in infinite dimensions. In particular we consider perturbations of the Nonlinear Schroedinger Equation on the line and show that solutions of the associated Cauchy problem have universal behavior as $t\goto\infty$ and are completely integrable on open, invariant subsets of phase space.