Envelope solitons of the nonlinear discrete vertical dust grain oscillation in dusty plasma crystals

Alphonse Houwe, Souleymanou Abbagari, Mustafa Inc, Gambo Betchewe, Serge Y. Doka and Kofane T. Crépin

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: The paper concerns envelope soliton propagating through the nonlinear transverse dust grain displacement in dusty plasma crystals. The work found its motivation from the recent paper of the authors [7]. To reach the goal of this study we establish the linear dispersion and the nonlinear Schrödinger equation (NLSE) by employing the quasi discrete approximation [7,13–15]. Contrary to ref. [7], it is observed one additional regime of the formation of the dark soliton while choosing the gap frequency value (ωg≈150sec−) which is close to the experimental value given by Motcheyo et al. [7], Tsopgue et al. To corroborate the prediction made analytically to group velocity, was confirmed by numerical and experimental studies. As, it is established that in general manner the modulated waves describing by the NLSE can be stable or unstable to the perturbation, the modulation instability of steady state have been done. Despite, that the bandwidth of the model has been reduced compared to [7,13–15], we can say without hesitation that this work will be a capital contribution in dusty plasma crystal.

Keywords: Envelope soliton; Discrete vertical dust grain; Dusty plasma crystals (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921009942

DOI: 10.1016/j.chaos.2021.111640

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