论文标题
构建矢量非线性Schrodinger方程的可解决模型，并通过平衡损失和通过非自动转化增益
Constructing Solvable Models of Vector Non-linear Schrodinger Equation with Balanced Loss and Gain via Non-unitary transformation
论文作者
论文摘要
我们考虑使用平衡损耗（BLG），线性耦合（LC）和立方非线性的一般形式的矢量非线性Schrodinger方程（NLSE）。我们使用非自然转换来表明可以将系统精确地映射到没有BLG和LC的情况下，并且具有修改的时间调制的非线性相互作用。对于伪独立转化的特殊情况，非线性术语仍然不变，而BLG和LC被完全删除。该映射是通用的，可用于构造与BLG的可溶解自主和非自主矢量NLSE。我们提出了具有BLG的确切可解决的两个组分矢量NLSE，该矢量具有功率振荡。还提供了具有BLG和任意偶数组件数量的向量NLSE的一个示例。
We consider vector Non-linear Schrodinger Equation(NLSE) with balanced loss-gain(BLG), linear coupling(LC) and a general form of cubic nonlinearity. We use a non-unitary transformation to show that the system can be exactly mapped to the same equation without the BLG and LC, and with a modified time-modulated nonlinear interaction. The nonlinear term remains invariant, while BLG and LC are removed completely, for the special case of a pseudo-unitary transformation. The mapping is generic and may be used to construct exactly solvable autonomous as well as non-autonomous vector NLSE with BLG. We present an exactly solvable two-component vector NLSE with BLG which exhibits power-oscillation. An example of a vector NLSE with BLG and arbitrary even number of components is also presented.
