https://doi.org/10.1140/epjp/s13360-024-05744-5
Regular Article
Optical soliton solution of the perturbed Fokas–Lenells equation having the cubic–quintic–septic law of self-phase modulation in the presence of chromatic and spatiotemporal dispersions
1
Department of Mathematics and Computer Science, Istanbul Kultur University, Istanbul, Turkey
2
Mathematical Engineering Department, Yildiz Technical University, Istanbul, Turkey
3
Computer Engineering Department, Biruni University, Istanbul, Turkey
Received:
5
August
2024
Accepted:
10
October
2024
Published online:
29
October
2024
This study presents the optical soliton solutions of the Fokas–Lenells equation, which is a significant model for nonlinear optics. The new Kudryashov method is used to obtain the optical solutions in the form of the Fokas–Lenells equation, including the perturbation term and cubic–quintic–septic law nonlinearities. By implementing the method effectively, bright and singular soliton solutions are gained, and graphical presentations were created to analyze the effects of problem parameters on the bright soliton form. The investigated problem parameters include septic law nonlinearity, group velocity dispersion, and spatiotemporal dispersion terms.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
