Generation of nonlinear modulated waves in a modified Noguchi electrical transmission network

Abdourahman, and Emmanuel Kengne

Chaos, Solitons & Fractals, 2016, vol. 92, issue C, 1-8

Abstract: In the present work, we study the generation of nonlinear modulated waves in a modified version of Noguchi electrical tr ansmission network. In the continuum limit, we have considered the semi discrete approximation and showed that wave modulations in the network are governed by a generalized Chen-Lee-Liu (G-CLL) equation whose “self steepening” parameter is free from line parameters. We have investigated the effects of the “self steepening” parameter of the equation on the dynamics of modulated waves propagating in the network and shown that it can be adequately used either to enhance or to soften the instability of the nonlinear Schrödinger (NLS) equation. Our investigations showed that the introduction of the “self steepening” term in the NLS equation of the network allows bright and dark solitonlike waves to coexist in the same modulational stable and unstable frequency regions of the NLS. Our analytical studies of the G-CLL equation of the network showed that the amplitude of the solitonlike waves propagating in the network decreases as the “self steepening” parameter of the G-CLL equation increases.

Keywords: Modified version of Noguchi electrical transmission network; Generalized Chen-Lee-Liu equation; Bright solitonlike waves; Dark solitonlike waves (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:92:y:2016:i:c:p:1-8

DOI: 10.1016/j.chaos.2016.09.006

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