E. Kengne, V. Bozicand, M. Viana and R. Vaillancourt, “Transverse Stability of Solitary Waves Propagating Incoupled Nonlinear Dispersive Transmission Lines,” Physical Review E, Vol. 78, No. 2, 2008, Article ID: 0266036. doi:10.1103/PhysRevE.78.026603

has been cited by the following article:

• 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.