Well-Posedness and averaging of NLS with time-periodic dispersion management

Details Well-Posedness and averaging of NLS with time-periodic dispersion management Well-Posedness and averaging of NLS with time-periodic dispersion management

2012-04-19

arxiv.org/abs/1204.4468v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

We consider the Cauchy problem for dispersion managed nonlinear Schroedinger equations, where the dispersion map is assumed to be periodic and piecewise constant in time. We establish local and global well-posedness results and the possibility of finite time blow-up. In addition, we shall study the scaling limit of fast dispersion management and establish convergence to an effective model with averaged dispersion.

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