本文主要研究了含三体相互作用的玻色爱因斯坦凝聚的基态和一些简单的演化规律，研究发现三体作用会对基态产生影响，其中吸引作用会使得基态波包会聚而排斥作用则使波包发散，此外还计算了系统的化学势。在一维演化问题中我们考虑了波包在谐振子势下和自由空间的扩散两种情况，发现吸引和排斥的三体项会起到同基态类似的作用，其中吸引作用会阻碍波包的扩散而排斥作用则会加快波包的扩散。此外还发现在二维情况下外加谐振子势的不对称性对导致基态波包的会聚。

In this passage we studied the ground state and some simple evolutionary cases in Bose-Einstein condensate with three-body interaction based on mean-field theory. We find that the three-body interaction can influence the one-dimensional ground state by slightly assembling the original ground wave packet under the attractive circumstance and dispersing it under the repulsive case. And after that we calculate the chemical potential of the system with different values of interaction. In the one-dimensional evolution part we have present two examples including the expansion in the free space and the act in the harmonic potential. Both have exhibit the essentially similar result as it is in the ground state that the attractive interaction can impede the natural dispersal in a wave packet while the repulsive interaction can accelerate it. In the two-dimensional case, Bose condensate ground state can be also gathered up by the asymmetry of the imposed harmonic potential.