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arXiv · 0705.0131

Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential

Johannes Giannoulis·Alexander Mielke·Christof Sparber
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Abstract

We consider a cubic nonlinear Schroedinger equation with periodic potential. In a semiclassical scaling the nonlinear interaction of modulated pulses concentrated in one or several Bloch bands is studied. The notion of closed mode systems is introduced which allows for the rigorous derivation of a finite system of amplitude equations describing the macroscopic dynamics of these pulses.

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Johannes Giannoulis, Alexander Mielke, Christof Sparber. 2007-05-01. Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential. https://arxiv.org/abs/0705.0131

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