论文标题
在分散托管的非线性schrödinger方程中
On dispersion managed nonlinear Schrödinger equations with lumped amplification
论文作者
论文摘要
我们显示了具有定期变化的系数和小参数$ \ varepsilon> 0 $的非线性schrödinger方程的全局良好性，用于光纤通信。我们还证明，将解决方案收敛到Gabitov-turitsyn或平均方程的解决方案，因为$ \ varepsilon $倾向于零。
We show the global well-posedness of the nonlinear Schrödinger equation with periodically varying coefficients and a small parameter $\varepsilon>0$, which is used in optical-fiber communications. We also prove that the solutions converge to the solution for the Gabitov-Turitsyn or averaged equation as $\varepsilon$ tends to zero.
