文摘
We report an investigation on Bose-Einstein condensates with two-body (cubic) and three-body (quintic) interactions in the corresponding nonlinear Schrödinger equation, considering \(s-\)wave two-body scattering length \(a_s\) periodically varying in time. For the quintic interacting term, the dependence on \(a_s\) was considered within two models, being quadratic or quartic. It was shown that parametric instabilities can lead to th e generation of Faraday wave resonances in this system, with wavelengths depending on the background scattering length, as well as on the corresponding modulation parameters. A few sample results are shown here for repulsive \(a_s\), in case of quadratic and quartic three-body interactions. The effect of dissipation is also verified on the amplitude of the resonances. Analytical predictions for the resonance positions are confirmed by our numerical simulations.