Solitons in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length in a Harmonic Trap

摘要

We obtain the integrable relation for the one-dimensional nonlinear Sehrdinger equations which describesthe dynamics of a Bose-Einstein Condensates with time-dependent scattering length in a harmonic potential.The exactone-and two-soliton solutions are constructed analytically by using the Hirota method.Then we further discuss thedynamics of the one soliton and the interactions between two solitons in currently experimental conditions.