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arXiv · 0708.3141

On the universality of the Discrete Nonlinear Schroedinger Equation

A. Fratalocchi·G. Assanto
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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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A. Fratalocchi, G. Assanto. 2007-08-23. On the universality of the Discrete Nonlinear Schroedinger Equation. https://doi.org/10.1103/physreva.76.042108

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