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.