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

E. Kengne and A. Lakhssassi

Chaos, Solitons & Fractals, 2015, vol. 73, issue C, 191-201

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.

Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:73:y:2015:i:c:p:191-201

DOI: 10.1016/j.chaos.2015.01.021

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