Discrete Lange-Newell criterion for dissipative systems.
We report on the derivation of the discrete complex Ginzburg-Landau equation with first- and second-neighbor couplings using a nonlinear electrical network. Furthermore, we discuss theoretically and numerically modulational instability of plane carrier waves launched through the line. It is pointed out that the underlying analysis not only spells out the discrete Lange-Newell criterion by the means of the linear stability analysis at which the modulational instability occurs for the generation of a train of ultrashort pulses, but also characterizes the long-time dynamical behavior of the system when the instability grows.
Ndzana
Fabien I I
FI
Department of Physics, Faculty of Science, Laboratory of Mechanics, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon. ndzanafabienii@yahoo.com
Mohamadou
Alidou
A
Kofané
Timoleon Crépin
TC