We investigate the propagation characteristics of dark solitons in a periodic dispersion managed medium. The numerical procedures used to solve the nonlinear Schrödinger equation (NLSE) include the Lanczos-Chebyshev pseudospectral reduction method and an iterative implicit stepwise algorithm. The dark exactly periodic (EP) solitons found show stationary propagating wave characteristics with slow varying pulse width but constant pulse energy. We show how to apply our findings to design a physical optical system. The wavelength change is linearly proportional to the distance traveled. When calibrated using observed data from astronomy, our solutions could be converted to what is given in Hubble’s law. We conclude that redshift is an important intrinsic property of light transmitting through space.

我们研究了暗孤子在周期性色散管理介质中的传播特性。用于求解非线性薛定谔方程 (NLSE) 的数值程序包括 Lanczos-Chebyshev 伪谱约简方法和迭代隐式逐步算法。发现的暗精确周期 (EP) 孤子显示出稳定的传播波特征，具有缓慢变化的脉冲宽度但脉冲能量恒定。我们展示了如何应用我们的发现来设计物理光学系统。波长变化与行进距离成线性比例。当使用来自天文学的观测数据进行校准时，我们的解决方案可以转换为哈勃定律中给出的解决方案。我们得出结论，红移是光通过空间传输的重要内在属性。