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Envelope solitons in a left-handed nonlinear transmission line with Josephson junction

Author

Listed:
  • Abdoulkary, Saidou
  • English, L.Q.
  • Mohamadou, Alidou

Abstract

We consider a nonlinear left-handed transmission line that incorporates an array of Josephson junctions in its periodic lattice structure. We show that the system dynamics is described by a discrete sine-Gordon-like equation, where the left-handedness of the lattice manifests in the form of a non-standard second-time- derivative term. Since this modified discrete sine-Gordon equation has not yet been extensively studied in the literature, this paper opens up the possibility of additional mathematical analysis. It is also intriguing that by means of a semi-discrete approximation we can derive a nonlinear Schrödinger equation and thus show that the system supports both bright and dark envelope soliton solutions depending on the choice of carrier frequency. The left-handedness of the network is explicitly confirmed in numerical simulations which demonstrate the backward propagation of the bright and dark soliton, in good agreement with analytical predictions.

Suggested Citation

  • Abdoulkary, Saidou & English, L.Q. & Mohamadou, Alidou, 2016. "Envelope solitons in a left-handed nonlinear transmission line with Josephson junction," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 44-50.
    • Handle: RePEc:eee:chsofr:v:85:y:2016:i:c:p:44-50
    DOI: 10.1016/j.chaos.2016.01.011
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    Cited by:

    1. Houwe, Alphonse & Abbagari, Souleymanou & Inc, Mustafa & Betchewe, Gambo & Doka, Serge Y. & Crépin, Kofane T., 2022. "Envelope solitons of the nonlinear discrete vertical dust grain oscillation in dusty plasma crystals," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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