Nonlinear Schamel–Korteweg deVries equation for a modified Noguchi nonlinear electric transmission network: Analytical circuit modeling

Abstract

• Anew capacitance-voltage characteristics containing a square root nonlinearity is built and used for circuit modeling of a modified Noguchi nonlinear transmission network. • The perturbation method in the continuum limit is used to show that the weakly modulated waves propagating in the our model can be governed by the nonlinear Schamel-Korteweg-de Vries equation. • New soliton and periodic solutions of the Schamel-Korteweg-de Vries equation are derived and used to investigate the dependency of the characteristics of parameters of bright soliton and periodic signals on the network parameters. A modified Noguchi nonlinear electric transmission network that consists of a large number of identical sections is theoretically studied in the present work. A new capacitance-voltage (C-V) characteristics of the diodes containing a square root nonlinearity is introduced and used to show that in the continuum limit, the voltage for the transmission line is described by the Schamel Korteweg de Vries (S-KdV) equation. The dependency of the characteristics of modulated wave parameters on our nonlinear electric transmission network are shown in the work. The results found in this paper are of great interest and can be exploited in other areas of physics such as in plasma physics .