In this paper, we show out the chirped and the corresponding chirp with their stability to the perturbed Chen–Lee–Liu equation with self-phase modulation and nonlinear dispersions. By employing the traveling-wave technique, we establish directly the nonlinear ordinary differential (NODE) equation. Based on the parameters of the obtained NODE, several cases of the exact traveling wave have been obtained with their corresponding chirp. We, also note that the group velocity dispersion, the self-phase modulation and the nonlinear dispersion terms have impacted the gain spectrum of the modulation instability (MI). The one important aspect is that without computer codes all these results were obtained. These results will be certainly helpful in optical fibers.

在本文中，我们展示了ed和相应的chi及其对具有自相位调制和非线性色散的摄动的Chen-Lee-Liu方程的稳定性。通过采用行波技术，我们直接建立了非线性常微分（NODE）方程。根据获得的NODE的参数，已经获得了几种精确行波的情况及其相应的线性调频。我们还注意到，群速度色散，自相位调制和非线性色散项已经影响了调制不稳定性（MI）的增益谱。一个重要方面是，无需计算机代码即可获得所有这些结果。这些结果对光纤肯定有帮助。