Optical soliton solutions to the Fokas–Lenells model applying the φ6-model expansion approach

The φ 6 -model expansion approach is presented to achieve optical soliton solutions for the Fokas-Lenells model. We apply a variable relation to translate the model’s partial differential form into an ordinary differential form. Then Maple-18 software applies the abovementioned methods to the governing model. The combination of trigonometric, hyperbolic, and rational function solutions yields various novel dynamical optical solitons. These solutions can all be found with double periodic waves, W-shape periodic waves, and W-shape periodic waves with multiple waves in these solutions. Additionally, local breather waves and multiple bright-dark breather waves are retrieved. Graphical displays of the derived solutions’ many dynamic aspects are provided. According to the obtained results from this study, we can say that the adopted technique is effective, relaxing, suitable, and advantageous for solving various nonlinear problems.