Gap Soliton Excitations in a Bi-Inductance Electrical Line

Abstract

Nonlinear localized excitations in a bi-inductance electrical line are considered analytically by means of the method of multiple scales combined with a quasi-discreteness approximation. We show in a unified way that the system may support new types of gap solitons (with the frequency of oscillations lying in the gap of the continuous wave spectrum) and intrinsic localized modes (with the oscillation frequency being above all the phonon bands). Both kinds of excitations have zero group velocity.