Abstract: By using F-expansion method and homogeneous balance principle，exact solutions of(3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent coefficients are obtained. By the different choice of parameters，one can obtain breather, light soliton，dark soliton，kink soliton and antikink soliton. The intensity would converge to constant value when dispersion to be the style of the exponential form. At last，the influence of asymmetric traps on soliton dynamics properties is discussed in some detail.