Abstract
In this study, we have focused on finding soliton solutions of the cubic–quartic Fokas–Lenells equation, which models the nonlinear pulse transmission through optical fiber, is a pretty new and updated model. The main motivation of this study is to produce new solutions with previously unused methods for data transmission models in fiber optic cables together with the developing technology, which has been used very frequently today. We have used three different efficient analytical methods, namely, the Sinh–Gordon expansion method, enhanced modified extended tanh expansion method and unified Riccati equation expansion method. By modifying our proposed method and using it effectively, we have obtained much more optical solutions. We have supported the results with the 3D surface, 2D and contour plots of the soliton solutions, such as singular, periodic, periodic-singular, dark and M-shaped solitons. The originality of the method we propose is that it has never been used before. With the innovation of the method, we have obtained M-shaped solitons, which are very rarely obtainable in soliton waves. On the other hand, enhanced modified extended tanh expansion method have provided us more extra solutions. As the last and most important part, in order to examine physical behaviors, we have investigated the effect of the coefficient of the fourth order dispersion parameter on wave propagation by presenting the graphical representation.
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Ismail Onder and Muslum Ozisik conceived of the presented idea. Aydin Secer developed the theory and performed the comp ations. Mustafa Bayram verified the analytics l methods. Mustafa Bayram supervised the findings of this work. All authors discussed the results and contributed t the final manuscript. Aydin Secer and Mustafa Bayram prepared all figures. Aydin Secer and Muslum Ozisik planned and carried out the simulations. All authors discussed the results and commented on the manuscript and Mustafa Bayram contributed to the design and implementation of the research, to the analysis of the supervised work. All authors reviewed the manuscript.
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Onder, I., Secer, A., Ozisik, M. et al. Obtaining optical soliton solutions of the cubic–quartic Fokas–Lenells equation via three different analytical methods. Opt Quant Electron 54, 786 (2022). https://doi.org/10.1007/s11082-022-04119-3
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DOI: https://doi.org/10.1007/s11082-022-04119-3