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has been cited by the following article:
TITLE: Propagation of Dark Solitary Waves in the Korteveg-Devries-Burgers Equation Describing the Nonlinear RLC Transmission
AUTHORS: Serge Doka Yamigno
KEYWORDS: Nonlinear Electrical Lines, Dark Solitons
JOURNAL NAME: Journal of Modern Physics, Vol.5 No.6, April 25, 2014
ABSTRACT: We investigate the propagation of dark solitons in a nonlinear dissipative electrical line. We show that the dynamics of the line is reduced to an expanded Korteweg-de Vries-Burgers (KdVB) equation. By applying the perturbation theory to the KdVB equation, we obtain soliton-like pulse solutions. The numerical simulations of the discrete equation are carried out and show the possibility of the founding solution to spread through the line. The effect of the dissipation through soliton is also shown. A chaotic-like behavior can take place in the system during the propagation of dark solitons through the line.