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

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 Schrodinger 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 (omega(g) approximate to 150 sec(-)) 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. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper studies the propagation of envelope soliton through the nonlinear transverse dust grain displacement in dusty plasma crystals. By establishing the linear dispersion and the nonlinear Schrodinger equation, the study found an additional regime of the formation of dark soliton when choosing a gap frequency value close to the experimental value. The prediction of group velocity was confirmed through numerical and experimental studies. This work makes a significant contribution to the field of dusty plasma crystals.