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When considering the influence of high-order dispersion on pulse transmission, the attenuation $\alpha$ and non-linear parameter $\gamma$ in the pulse transmission equation are usually simplified as 0 for convenience. At the same time, the pulse intensity $A$ is normalized to $U$.
The Nonlinear Schrödinger Equation( $\alpha=0$ )：
$$
\frac{\partial A}{\partial z}=-\frac{\alpha}{2}A-i \frac{\beta_2}{2} \frac{\partial^2 A}{\partial T^2}+i\gamma|A|^2A
$$
displays how the envelope and phase of an optical pulse change as it propagates through an optical fiber, taking into account attenuation $\alpha$ , group velocity dispersion (GVD) $\beta_2$ and self-phase modulation (SPM) $\gamma$ caused by nonlinearity.
This article will demonstrate the use of the Split-Step Fourier method to solve the Nonlinear Schrödinger Equation in Python.
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