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

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  • Kengne, Emmanuel
  • Lakhssassi, Ahmed
  • Liu, WuMing

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.

Suggested Citation

  • Kengne, Emmanuel & Lakhssassi, Ahmed & Liu, WuMing, 2020. "Nonlinear Schamel–Korteweg deVries equation for a modified Noguchi nonlinear electric transmission network: Analytical circuit modeling," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306251
    DOI: 10.1016/j.chaos.2020.110229
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    References listed on IDEAS

    as
    1. Kengne, E. & Lakhssassi, A., 2015. "Analytical studies of soliton pulses along two-dimensional coupled nonlinear transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 191-201.
    2. Yun Wu & Zhengrong Liu, 2013. "New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-18, August.
    3. Aziz, Farah & Asif, Ali & Bint-e-Munir, Fatima, 2020. "Analytical modeling of electrical solitons in a nonlinear transmission line using Schamel–Korteweg deVries equation," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    4. Emmanuel Kengne & Wu-Ming Liu, 2019. "Management of modulated wave solitons in a two-dimensional nonlinear transmission network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(10), pages 1-15, October.
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