Optical soliton and travelling wave solutions for the wick-type stochastic Fokas-Lenells equation

In this study, we investigate the perturbed Fokas-Lenells equation with conformable fractional derivatives in the presence of white noise, employing two advanced methodologies. The analysis utilizes Hermite and inverse Hermite transformations within the framework of white noise theory to derive solutions to the model. We also construct traveling wave solutions, optical soliton solutions, and their respective stochastic counterparts.