Abstract
The complex nonlinear Fokas–Lenells (FL) equation to obtain the explicit travelling wave solutions under different values parameters such as solitary wave solutions, kink solitary wave solutions and periodic wave solutions and others solutions are studied using the dynamical system approach. Also, the optical solitons for the FL equation, as well as the plane-wave, complex dark-singular, and complex periodic-singular solutions are obtained via the \(exp(-\Phi (\zeta ))\)expansion method. In conclusion, graphical representations of these solutions are provided so that the dynamics of these waves can be viewed.
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This study is supported via funding from Prince Sattam bin Abdulaziz University Project Number (PSAU/2024/R1445).
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Elsadany, A.A., Alshammari, F.S. & Elboree, M.K. Dynamical system approach and \(exp(-\Phi (\zeta ))\) Expansion method for optical solitons in the complex nonlinear Fokas–Lenells model of optical fiber. Opt Quant Electron 56, 817 (2024). https://doi.org/10.1007/s11082-024-06523-3
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DOI: https://doi.org/10.1007/s11082-024-06523-3