Controlling the amplitude of soliton in agrowing Bose--Einstein condensate by means of Feshbach resonance

By using Darboux transformation, this paper studies analytically thenonlinear dynamics of a one-dimensional growing Bose--Einsteincondensate (BEC). It is shown that the growing model has animportant effect on the amplitude of the soliton in the condensates.In the absence of the growing model, there exhibits the stablealternate bright solitons in the condensates. In the presence of thegrowing model, the obtained results show that the amplitude of thebright soliton decreases (increases) for the BEC growing coefficient$Om<0$ $(Om>0)$. Furthermore, we propose experimental protocols to manipulatethe amplitude of the bright soliton by varying the scattering lengthvia the Feshbach resonance in the future experiment.