On the effect of discreteness in the modulation instability for the Salerno model.

Abstract

A Salerno model with first-and second-neighbor couplings is derived for the nonlinear transmission lines. We revisit the problem of modulation instability in the Salerno model. We derive the expression for the modulation instability gain and use them to explore the role of discreteness. We show that discreteness has an impact on the mechanism by which wave trains of soliton type can be generated in the Salerno model. We also show that second-neighbor couplings have an effect on the signal voltage.