title: Dynamics of modulated waves in electrical lines with dissipative elements.
abstract: By a means of a method based on the reductive perturbation method, we show that the amplitude of waves on the nonlinear electrical transmission lines (NLTLs) is described by the cubic-quintic complex Ginzburg-Landau (CGL) equation. Then, we revisit analytically and numerically the processes of modulational instability (MI). The evolution of dissipative modulated waves through the network is also examined, and we show that solitonlike excitations can be induced by MI. Analytical results, illustrating the nature of MI of plane-wave solution, are also found to be in good agreement with numerical findings.
authors.affiliation: Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde 237, Cameroon. ndzanafabienii@yahoo.com
authors.forename: Fabien Ii
authors.initials: FI
authors.lastname: Ndzana
authors.forename: Alidou
authors.initials: A
authors.lastname: Mohamadou
authors.forename: Timoleon Crepin
authors.initials: TC
authors.lastname: Kofané