Localized Solitary Signals on a Coupled Nonlinear Transmission Line

Abstract

A new class of localized solitary signals is investigated on a coupled nonlinear transmission line, which consists of two LC ladder lines connected by intermediary capacitors. Actually, these localized solitary excitations correspond to configurations where electric signal voltages on nearest-neighbour electric cells of each LC ladder line oscillate out of phases with each other, at the same frequency. Thus, it is found that they are stationary nonlinear asymmetric waves, whose amplitudes and widths depend on characteristic parameters of the circuit. The explicit envelope functions which are appropriate for coupled system with finite lengths are also found.