Gap Soliton Excitations in a Model of an Electric Circuit (opens in a new tab)

Abstract

We consider a model of an electric circuit, which consists of a primary monoinductance branch shunted (cell to cell) by a nonlinear capacitor and two alternate secondary inductances. The cw spectrum of this circuit exhibits two forbidden bands. By means of the method of multiple scales combined with a quasi-discreteness approximation, we show analytically in a unified way that, the system may support gap solitons, which have their frequencies of oscillation contained within these gaps, as well as intrinsic localized modes (with oscillation frequencies above all the phonon bands). Both kinds of excitations have zero group velocity.