Abstract
The nonlinear dynamics of the stationary waves propagating in an anharmonic medium along a layered or modulated periodic waveguide system is analytically described. The exact dynamical equations for discrete systems of coupled anharmonic oscillators, which are typically used for the description of real experiments on the localization of powerful optical fluxes, are analytically derived on the microscopic level, and the conditions of their applicability are obtained. The criterion of the appearance of a spatially localized state in such systems is derived.
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The text was submitted by the authors in English.