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Nonlinear supratransmission in a discrete nonlinear electrical transmission line: Modulated gap peak solitons

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  • Kenmogne, Fabien
  • Ndombou, Guy Bertrand
  • Yemélé, David
  • Fomethe, Anaclet

Abstract

We examine the propagation conditions of modulated gap signal voltage in a one-dimensional nonlinear discrete electrical transmission line where nonlinear capacitors are introduced both in their series and shunt branches. Especially, we consider that the propagating signal voltage frequency belong to the forbidden band zones. Using the exact discrete equations of the network and the extended nonlinear Schrödinger equation, the threshold value of the signal amplitude over which pulse soliton is emitted in the network is found. We show that when the signal amplitude exceeds a particular value, the critical value, peaked soliton can be emitted by the network due to the nonlinear dispersive elements of the series branches. Numerical simulations, confirming the exactness of the analytical analysis are performed on the exact equations of the network.

Suggested Citation

  • Kenmogne, Fabien & Ndombou, Guy Bertrand & Yemélé, David & Fomethe, Anaclet, 2015. "Nonlinear supratransmission in a discrete nonlinear electrical transmission line: Modulated gap peak solitons," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 263-271.
    • Handle: RePEc:eee:chsofr:v:75:y:2015:i:c:p:263-271
    DOI: 10.1016/j.chaos.2015.02.026
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    Cited by:

    1. Alima, R. & Morfu, S. & Marquié, P. & Bodo, B. & Essimbi, B.Z., 2017. "Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein–Gordon lattices," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 91-99.
    2. Macías-Díaz, J.E., 2021. "Nonlinear wave transmission in harmonically driven hamiltonian sine-Gordon regimes with memory effects," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Kamdoum Kuitche, A. & Togueu Motcheyo, A.B. & Kanaa, Thomas & Tchawoua, C., 2022. "Supratransmission in transversely connected nonlinear pendulum pairs," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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