Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrödinger Equation

摘要

We study the decay and smoothness of solutions of the dispersion managed non-linear Schrödinger 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. Communicated by P. Constantin