A class of optical solutions for time-fractional perturbed Fokas–Lenells equation via a modified Sardar sub-equation approach

• Published in: Optical and quantum electronics 2024-06, Vol.56 (7), Article 1130
• Main Authors: Murad, Muhammad Amin S., Ismael, Hajar F., Sulaiman, Tukur Abdulkadir
• Format: Article
• Language: English
• Subjects: Characterization and Evaluation of Materials; Communications systems; Computer Communication Networks; Data transmission; Electrical Engineering; Impact analysis; Lasers; Nonlinear optics; Optical Devices; Optics; Parameter modification; Photonics; Physics; Physics and Astronomy; Solitary waves
• ISSN: 1572-817X; 0306-8919; 1572-817X
• DOI: 10.1007/s11082-024-06494-5

This paper dedicates to study the optical soliton solutions for the time-fractional perturbed Fokas-Lenells equation using the novel modified Sardar sub-equation approach. Several novel optical solutions include a class of categories, comprising mixed dark-bright, bell-shape, singular, and wave optical solutions are constructed. Further, the magnitude of the time-fractional perturbed Fokas-Lenells model by investigating the impact of the conformable fractional parameter and the effect of the time parameter on the novel optical solutions is analyzed. The current type of Sardar sub-equation approach is a general form of several approachs, such as the tanh-function extension approach, the modified Kudryashov approach, the improved Sardar sub-equation method, and others. It can be claimed that the current optical soliton solutions are novel and have not existed in the literature. The results of this study are expected to shed light on the field of soliton theory in nonlinear optics. Time-fractional perturbed Fokas–Lenells soliton solutions could be applied to model and understand the behavior of signals in optical communication systems and potentially improving data transmission.