On the universality of the Discrete Nonlinear Schroedinger Equation
arXiv:0708.3141 · doi:10.1103/PhysRevA.76.042108
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.
arXiv comment6 Pages, to appear in Phys. Rev. A
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