Resonant control of solitons

It is shown that the effect of “scattering on resonance” can be used to control envelope solitons in the driven nonlinear Schrödinger equation. The control occurs by the frequency modulated driving with multiple crossing of the resonant frequency of the soliton.

► Effect of “scattering on resonance” can be applied to control envelope solitons.
► We found value of a single jump of the soliton amplitude in crossing of resonance.
► Multiple scattering on resonance gave large amplification of the soliton.