Weakly Two-Dimensional Solitary Waves on Coupled Nonlinear Transmission Lines

Abstract

We study the nonlinear solitary wave solution under the transverse perturbations for a system of coupled nonlinear electrical transmission lines. In the continuum limit and suitably scaled coordinates, the voltage on the system is described by a modified Zakharov-Kuznetsov equation. The cut-off frequency of the growth rate for the solitary waves under transverse perturbations has been analytically obtained. It is in agreement with the cases p = 1/2 and p = 1 which have been studied previously.