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Analytical studies of soliton pulses along two-dimensional coupled nonlinear transmission lines

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  • Kengne, E.
  • Lakhssassi, A.

Abstract

A nonlinear network with many coupled nonlinear LC dispersive transmission lines is considered, each line of the network containing a finite number of cells. In the semi-discrete limit, we apply the reductive perturbation method and show that the wave propagation along the network is governed by a two-dimensional nonlinear partial differential equation (2-D NPDE) of Schrödinger type. Two regimes of wave propagation, the high-frequency and the low-frequency are detected. By the means of exact soliton solution of the 2-D NPDE, we investigate analytically the soliton pulse propagation in the network. Our results show that the network under consideration supports the propagation of kink and dark solitons.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:73:y:2015:i:c:p:191-201
    DOI: 10.1016/j.chaos.2015.01.021
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    Cited by:

    1. Kumar, Dipankar & Seadawy, Aly R. & Haque, Md. Rabiul, 2018. "Multiple soliton solutions of the nonlinear partial differential equations describing the wave propagation in nonlinear low–pass electrical transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 62-76.
    2. 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).
    3. El-Ganaini, Shoukry & Kumar, Hitender, 2020. "A variety of new traveling and localized solitary wave solutions of a nonlinear model describing the nonlinear low- pass electrical transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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