Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in optical fibers with higher‐order perturbations, and its study is critical to the development of high‐capacity optical communication systems. Several types of optical soliton solutions for this model with a conformable derivative are extracted in this study by using the modified Khater method and the modified ‐expansion approach. The obtained bright, dark, periodic, and kink soliton solutions offer important information for developing and regulating new optical devices, including all‐optical switches and soliton‐based data transmitters. The significant impact of the CF derivative on the soliton dynamics and symmetric features of the resulting solutions is demonstrated by two‐ and three‐dimensional graphical representations created with MATLAB software. Moreover, stability, sensitivity, and chaotic are successfully analyzed through diverse values of unknown parameters.