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We present a mechanism of amplification of phonons by phonons on the basis ofnonlinear band-gap transmission phenomenon. As a concept the idea may beapplied to the various number of systems, however we introduce the specificidea of creating amplification scenario in the chain of coupled cantileverarrays. One chain is driven at the constant frequency located in the upper bandof the ladder system, thus no wave enters the system. However the frequency isspecifically chosen to be very close to the maximum value of frequencycorresponding to dispersion relation of the system. Amplification scenariohappens when a counter phase pulse of same frequency with a small amplitude isintroduced to the second chain. If both signals exceed a threshold amplitudefor the band-gap transmission a large amplitude soliton enters the system -therefore we have an amplifier. Although the concept may be applied in avariety of contexts - all optical or all-magnonic systems, we choose the systemof coupled cantilever arrays and represent a clear example of the applicationof presented conceptual idea. Logical operations is the other probable field,where such mechanism could be used, which might significantly broaden thehorizon of considered applications of band-gap soliton dynamics.

All-phononic Amplification in Coupled Cantilever Arrays based on Gap Soliton Dynamics