Solitonlike excitations in a one-dimensional electrical transmission line

Abstract

Dynamics of modulated waves is studied in a one-dimensional discrete nonlinear electrical transmission line. Contribution of a linear dispersive capacitance is appreciated and it is shown via a reductive perturbation method that evolution of such waves in this system is governed by a higher order nonlinear Schrödinger equation. Passing through the Stokes wave analysis, a generalized criterion for the Benjamin–Feir instability in the network is presented and exact solutions of the obtained wave equation are determined by the means of the Pathria and Morris approach.