中文摘要：

用变分方法研究了在一维倾斜光晶格势阱中的两组分玻色-爱因斯坦凝聚体，分别得到了对称不分离、对称分离和不对称不分离三种不同类型的矢量孤子，并与数值模拟得到的结果进行比较，两者吻合得很好。进一步通过引入强扰动，研究了凝聚体中孤子的稳定性问题。

英文摘要：

We have studied two-component Bose-Einstein condensates trapped in one-dimensional tilted opti- cal lattice potential, using the variational approximation. We have founded three types of vector solitons. symmetric-unsplit,symmetric-split and asymmetric-unsplit solitons. The difference between the variational approximation and the numerical simulation result is extremely small. Furthermore,we test the stability of the solitons by adding strong perturbations to them.