This paper studies the dynamical behaviors of nonlinear wave solutions of perturbed and unperturbed fractional Chen-Lee-Liu (CLL) equation in optical fibers with a newly defined beta derivative. The coupled amplitude-phase formulation is used for the derivation of a nonlinear differential equation which contains a fifth-degree nonlinear term describing the evolution of the wave amplitude in the nonlinear system. Variety of soliton solutions are found by using the new extended direct algebraic method. Then, discussed model is converted into the planer dynamical system with the help of Galilean transformation and the bifurcation behavior is reported. All possible forms of phase portraits with respect to the parameters of the considered problem are plotted. In addition, by applying an extrinsic periodic force the effect of physical parameters is investigated. Furthermore, sensitive analysis is applied for different initial value problems to analyze the quasiperiodic and quasiperiodic-chaotic behaviors.

本文研究了具有新定义的β导数的光纤中被扰动和未被扰动的分数Chen-Lee-Liu（CLL）方程的非线性波解的动力学行为。耦合的振幅相位公式用于推导非线性微分方程，该方程包含一个描述非线性系统中波振幅演变的五阶非线性项。通过使用新的扩展直接代数方法，可以找到各种孤子解。然后，在伽利略变换的帮助下，将讨论的模型转换为平面动力学系统，并报告了分叉行为。绘制了关于所考虑问题的参数的所有可能形式的相图。此外，通过施加外部周期性力，研究了物理参数的影响。此外，针对不同的初值问题应用了敏感性分析，以分析准周期和准周期混沌行为。