Gap Soliton Modes in an Electrical Lattice

Abstract

We study analytically by a quasi-discreteness approach, nonlinear localized excitations in a discrete electrical lattice which exhibits two natural gaps. We show that some new types of gap solitons as well as intrinsic localized modes, both waves having a zero-group velocity can exist in the line. These nonlinear excitations have also their frequency lying in the gaps of the continuous wave spectrum and oscillate with frequency being above all the phonon bands, respectively.