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

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

2008-04-23

arxiv.org/abs/0804.3778v1

Physics

Mathematical Physics

24 pages

Scientific paper

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.

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