论文标题
部分可观测时空混沌系统的无模型预测
Domain walls in fractional media
论文作者
论文摘要
当前，对非线性介质的分数衍射支持的光学和物质波模式的分析引起了很多兴趣。我们预测了一种新型状态，即以不混溶的两组分组系统中的域壁（DW）形式进行预测。分数非线性Schroedinger方程的基础系统的数值研究表明，在各个征税指数的所有值（a <2）的所有值下，DW的存在和稳定性确定了分数衍射，并且在XPM/SPM比率B的所有值中，在两组分数B中的所有值中都在不可分解的阈值中。系统中的DWS在包括线性耦合的系统中获得了相同的结论，以及不混溶组件之间的XPM相互作用。获得DW宽度尺度的分析结果。在B = 3的特殊情况下，DW溶液基本上是简化的，并且接近不可使用的阈值。除对称DWS外，在系统中也构建了不对称的DW，该系统具有不等的衍射系数和/或两个组件的不同征费指数。
Currently, much interest is drawn to the analysis of optical and matter-wave modes supported by the fractional diffraction in nonlinear media. We predict a new type of such states, in the form of domain walls (DWs) in the two-component system of immiscible fields. Numerical study of the underlying system of fractional nonlinear Schroedinger equations demonstrates the existence and stability of DWs at all values of the respective Levy index (a < 2) which determines the fractional diffraction, and at all values of the XPM/SPM ratio b in the two-component system above the immiscibility threshold. The same conclusion is obtained for DWs in the system which includes the linear coupling, alongside the XPM interaction between the immiscible components. Analytical results are obtained for the scaling of the DW's width. The DW solutions are essentially simplified in the special case of b = 3, as well as close to the immiscibility threshold. In addition to symmetric DWs, asymmetric ones are constructed too, in the system with unequal diffraction coefficients and/or different Levy indices of the two components.
