“…Modulation instability has been observed in many physical systems, encompassing optical fibers [18], non-linear magneto-static waves [19,20], etc., and it is originated by small second order terms in the high frequency signal propagating in a dispersive medium. The analytical frame for the above mentioned effects is the nonlinear Schrodinger equation, where non-linearity and dispersion play a key role in the kind of effects which can be detected, and both instabilities and solitons could be obtained (see, for instance, [21]). Following this approach, the propagation of the signal through the RF transmission line could be described by a plane wave equation, including non-linear corrections due to the mechanical coupling between the RF propagating signal and the suspended beam.…”