TITLE:
Dissipative Discrete System with Nearest-Neighbor Interaction for the Nonlinear Electrical Lattice
AUTHORS:
Saïdou Abdoulkary, Tibi Beda, Serge Y. Doka, Fabien II Ndzana, Louis Kavitha, Alidou Mohamadou
KEYWORDS:
Generalized Dissipative Discrete Complex Ginzburg-Landau Equation; Discrete Lange Newell-Criterion; Pulse Trains; Solitary Patterns
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.6,
June
21,
2012
ABSTRACT: A generalized dissipative discrete complex Ginzburg-Landau equation that governs the wave propagation in dissipative discrete nonlinear electrical transmission line with negative nonlinear resistance is derived. This equation presents arbitrarily nearest-neighbor nonlinearities. We analyze the properties of such model both in connection to their modulational stability, as well as in regard to the generation of intrinsic localized modes. We present a generalized discrete Lange-Newell criterion. Numerical simulations are performed and we show that discrete breathers are generated through modulational instability.