论文标题
平均分散式NLS
Averaging for the dispersion-managed NLS
论文作者
论文摘要
我们在快速分散管理制度中建立了$ l^2 $至关重要的非线性schrödinger方程的全球平均。特别是，在非零平均分散剂的情况下，我们建立使用任何亚临界数据的平均值，而对于严格的阳性分散图，我们以$ l^2 $的数据为平均数据。
We establish global-in-time averaging for the $L^2$-critical dispersion-managed nonlinear Schrödinger equation in the fast dispersion management regime. In particular, in the case of nonzero average dispersion, we establish averaging with any subcritical data, while in the case of a strictly positive dispersion map, we obtain averaging for data in $L^2$.
