Localized modes in a chain with nonlinear on-site potential

Abstract

Localized modes are analysed for a chain with nonlinear on-site potential using an approximation based on the discrete nonlinear Schrödinger equation. It is pointed out that such localized modes exist in the parameter domains where the system displays modulational instability. Otherwise, nonlinear modes may appear in the form of dark-profile localized structures, and two types of such structures are found. The decay time of strongly localized nonlinear modes is also estimated. Show more