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

Emmanuel Kengne, Ahmed Lakhssassi and WuMing Liu

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: 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.

Keywords: Nonlinear transmission network; Korteweg-de Vries equation; Schamel-Korteweg-de Vries equation; Cnoidal solution (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306251

DOI: 10.1016/j.chaos.2020.110229

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