F=1和F=2的玻色-爱因斯坦凝聚:多组分NLS模型的约化和孤子相互作用

Ultrafast Nonlinear Optics Pub Date : 2009-10-02 DOI:10.1117/12.849184

V. Gerdjikov, N. Kostov, T. Valchev

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引用次数: 10

摘要

分析了一类与对称bd . i型对称空间相关的多分量非线性Schrödinger方程及其约简。简要介绍了相关Lax算子的正散射法和逆散射法及其孤子解。我们使用Zakharov-Shabat修整方法得到了双孤子解，并分析了MNLS方程的孤子相互作用及其一些约简。

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Bose-Einstein condensates with F=1 and F=2: reductions and soliton interactions of multi-component NLS models

We analyze a class of multicomponent nonlinear Schrödinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and the soliton solutions. We use the Zakharov-Shabat dressing method to obtain the two-soliton solution and analyze the soliton interactions of the MNLS equations and some of their reductions.

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Ultrafast Nonlinear Optics

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