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On the universality of the Discrete Nonlinear Schroedinger Equation

2007/08/23 by A. Fratalocchi, G. Assanto
Physics and Astronomy · #physics.optics #physics.gen-ph

paper · pdf · doi:10.1103/physreva.76.042108

6 Pages, to appear in Phys. Rev. A

arxiv created 2007/08/23 · arxiv updated 2009/12/01

Abstract

We address the universal applicability of the discrete nonlinear Schroedinger equation. By employing an original but general top-down/bottom-up procedure based on symmetry analysis to the case of optical lattices, we derive the most widely applicable and the simplest possible model, revealing that the discrete nonlinear Schroedinger equation is ``universally'' fit to describe light propagation even in discrete tensorial nonlinear systems and in the presence of nonparaxial and vectorial effects.

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