多组分NLS模型的解和旋量玻色-爱因斯坦凝聚体
Solutions of multi-component NLS models and spinor Bose-Einstein condensates
摘要：
研究了三分量和五分量非线性Schrodinger型模型，它们分别描述了具有超精细结构F=1和F=2的旋量玻色-爱因斯坦凝聚体（BEC's）.这些模型的特定值的耦合常数是可积的逆散射方法。它们与BD. I型SO（2 r +1）/（SO（2）x SO（2 r-1））（r=2和r=3）的对称空间有关。利用方便的Zakharov-Shabat修正方法，我们得到了不同类型的孤子解。
英文摘要：
A three- and five-component nonlinear Schrodinger-type models, which describe spinor Bose-Einstein condensates (BEC's) with hyperfine structures F=1 and F=2 respectively, are studied. These models for particular values of the coupling constants are integrable by the inverse scattering method. They are related to symmetric spaces of BD.I-type SO(2r+1)/(SO(2) x SO(2r-1)) for r=2 and r=3. Using conveniently modified Zakharov-Shabat dressing procedure we obtain different types of soliton solutions.
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