Envelope Solitons in a Left-Handed Nonlinear Transmission Line with Josephson Junction
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Abdoulkary, Saidou, L.Q. English, and Alidou Mohamadou. Envelope Solitons in a Left-Handed Nonlinear Transmission Line with Josephson Junction.
Chaos, Solitons and Fractals 85 (2016): 44-50.
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.
MLA citation style (9th ed.)
. 2016. dickinson.hykucommons.org/concern/generic_works/9b049827-e40c-431b-848d-422289197a11. Envelope Solitons In a Left-handed Nonlinear Transmission Line with Josephson Junction.APA citation style (7th ed.)
(2016). Envelope Solitons in a Left-Handed Nonlinear Transmission Line with Josephson Junction. https://dickinson.hykucommons.org/concern/generic_works/9b049827-e40c-431b-848d-422289197a11Chicago citation style (CMOS 17, author-date)
Envelope Solitons In a Left-Handed Nonlinear Transmission Line with Josephson Junction. 2016. https://dickinson.hykucommons.org/concern/generic_works/9b049827-e40c-431b-848d-422289197a11.Note: These citations are programmatically generated and may be incomplete.