Journal of Modern Physics

Volume 5, Issue 6 (April 2014)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

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

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DOI: 10.4236/jmp.2014.56051    5,309 Downloads   6,710 Views  Citations
Author(s)

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.

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Yamigno, S. (2014) Propagation of Dark Solitary Waves in the Korteveg-Devries-Burgers Equation Describing the Nonlinear RLC Transmission. Journal of Modern Physics, 5, 394-401. doi: 10.4236/jmp.2014.56051.

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