Generating soliton trains through Floquet engineering

We study a gas of interacting ultracold bosons held in parabolic trap the presence an optical lattice potential. Treating system as discretized Gross-Pitaevskii model, we show how Floquet engineering, by rapidly ``shaking'' lattice, allows ground state to be converted into train bright solitons inverting sign hopping energy. number produced depends on system's nonlinearity and curvature trap, technique can applied both high- low-driving-frequency regimes, demonstrate phenomenon's stability against noise. conclude that approach is useful stable method preparing cold-atom systems.