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中文摘要：
利用多重尺度法，解析地研究了方势阱中玻色．爱因斯坦凝聚体的孤子动力学行为．结果表明，方势阱对凝聚体中的孤子动力学有重要的影响．进入方势阱时孤子作加速运动，逃逸出势阱时孤子作减速运动；且随着势阱深度的增加，孤子的速度增加、幅度增加、宽度减小．这为实验操控孤子的动力学行为提供一定的参考价值．
英文摘要：
Using multiple-scale method, we study analytically the soliton dynamical behaviors of the Bose-Einstein condensates trapped in a square-well potential. It is found that the square-well potential has important effects on the soliton dynamics. When the soliton goes into the square-well potential, its movement is accelerated; while it leaves the square-well potential, the soliton is decelerated. With the increase in depth of the square-well potential, the velocity of the soliton increases, and its amplitude becomes larger and its width decreases. This may serve as a reference effect for controlling the dynamical characteristics of the soliton in experiments.
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