Propagation of Dark Solitary Waves in the Korteveg-Devries-Burgers Equation Describing the Nonlinear RLC Transmission

Serge Doka Yamigno

Department of Physics, Higher Teachers’ Training College, University of Maroua, Maroua, Cameroon.

DOI: 10.4236/jmp.2014.56051                

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.

Keywords

Nonlinear Electrical Lines, Dark Solitons

Conflicts of Interest

The authors declare no conflicts of interest.

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