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Abstract: We consider a cubic nonlinear Schroedinger equation with periodic potential.In a semiclassical scaling the nonlinear interaction of modulated pulsesconcentrated in one or several Bloch bands is studied. The notion of closedmode systems is introduced which allows for the rigorous derivation of a finitesystem of amplitude equations describing the macroscopic dynamics of thesepulses.



Author: Johannes Giannoulis, Alexander Mielke, Christof Sparber

Source: https://arxiv.org/







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