Dirk Hundertmark, Young-Ran Lee
Decay estimates and smoothness for solutions of the dispersion managed non-linear Schr\"odinger equation
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ABSTRACT.  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.