Author(s)

Saïdou Abdoulkary, Tibi Beda, Serge Y. Doka, Fabien II Ndzana, Louis Kavitha, Alidou Mohamadou

Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, Douala, Cameroon.
Département des Sciences Physiques, Ecole Normale Supérieure, Université de Maroua, Maroua, Cameroon.
Department of Physics, Periyar University, Salem, India.
Ecole Nationale Supérieure Polytechnique, Université de Yaounde I, Yaoundé, Cameroon.
Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon.

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.

Generalized Dissipative Discrete Complex Ginzburg-Landau Equation; Discrete Lange Newell-Criterion; Pulse Trains; Solitary Patterns

S. Abdoulkary, T. Beda, S. Doka, F. Ndzana, L. Kavitha and A. Mohamadou, "Dissipative Discrete System with Nearest-Neighbor Interaction for the Nonlinear Electrical Lattice," Journal of Modern Physics, Vol. 3 No. 6, 2012, pp. 438-446. doi: 10.4236/jmp.2012.36060.