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

Shah Muhammad, Abdul Saboor, Muhammad Shakeel and Hameed Gul Ahmadzai

Advances in Mathematical Physics, 2026, vol. 2026, 1-14

Abstract: 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 G′G2-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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5693464

DOI: 10.1155/admp/5693464

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