摘要
We obtain the integrable relation for the one-dimensional nonlinear Schrodinger equations which describes the dynamics of a Bos-Einstein Condensates with time-dependent scattering length in a harmonic potential. The exact one- and two-soliton solutions are constructed analytically by using the Hirota method. Then we further discuss the dynamics of the one soliton and the interactions between two solitons in currently experimental conditions.
基金
National Natural Science Foundation of China under Grant Nos.90406017,10740420252,and 60525417
the National Key Basic Research Special Foundation of China under Grant Nos.2005CB724508 and 2006CB921400