This paper discusses the study of optical solitons that are modeled by Riesz fractional Chen-Lee-Liu model, one of the versions of the famous nonlinear Schrödinger equation. This model is solved by the assistance of consecutive spectral collocation technique with two independent approaches. The first is the approach of the spatial variable, while the other is the approach of the temporal variable. It is concluded that the method of the current paper is far more efficient and credible for the proposed problem. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.

中文翻译：

---

Riesz分数阶Chen-Lee-Liu方程的谱配置技术

本文讨论了由Riesz分数Chen-Lee-Liu模型建模的光学孤子的研究，Riesz分数Chen-Lee-Liu模型是著名的非线性Schrödinger方程的版本之一。该模型是借助连续频谱配置技术和两种独立方法来解决的。第一种是空间变量的方法，而第二种是时间变量的方法。结论是，本文的方法对于所提出的问题是更加有效和可信的。数值结果说明了该算法的性能效率。结果还指出，该方案可以提高所研究模型的光谱精度。