paper

Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation

arXiv:0804.3778

Abstract

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.

24 pages

Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation · wovepaper