Decay estimates and smoothness for solutions of the dispersion managed   non-linear Schr\"odinger equation
  We study the decay and smoothness of solutions of the dispersion managed non-linear Schr\"odinger equation in the case of zero residual dispersion. Using new x-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying. 
Dirk Hundertmark, Young-Ran Lee