Abstract
In this work, the dynamics of modulated waves in a couple nonlinear LC transmission line is investigated. By employing the standard linear stability analysis, the growth rate of the instability is derived as a function of the wave numbers and system parameters. The regions of modulational instability can then be obtained and the influence of second-neighbor occuring via inductors in a nonlinear transmission line can be studied. As result, we found that the second-neighbor couplings add new maxima of gain; increase the group velocity, and the magnitude of the wave. Therefore, the network becomes more stable to small external perturbations.
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