Dissipative Discrete System with Nearest-Neighbor Interaction for the Nonlinear Electrical Lattice

• 作者: Alidou Mohamadou Fabien II Ndzana Louis Kavitha Sa?dou Abdoulkary Serge Y. Doka Tibi Beda
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Generalized DISSIPATIVE DISCRETE Complex GINZBURG-LANDAU Equation DISCRETE Lange Newell-Criterion Pulse TRAINS SOLITARY Patterns
• 年，卷（期）: xdwlyw_2012,（6）
• 页码范围: 438-446
• 页数: 9页
• 分类号: O1

摘要

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.