Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems

Abstract In this study, a range of novel optical soliton solutions to the nonlinear conformable Schrödinger equation influenced by multiplicative white noise is presented. By employing the unified method, several types of solutions are derived, including solitary kink-type, wave, and singular solitons. The dynamic characteristics and physical behaviors of these solutions are examined, with emphasis on the effects of the conformable derivative order, multiplicative white noise, and temporal parameters, as illustrated through various plots. The incorporation of stochastic noises introduces a new analytical dimension, which enhances the understanding of non-linear optical processes. Moreover, the developed framework for managing noises is an effective representation of real-world scenarios in optical fibers, which provide useful insights into the stability of solitons, error minimization, and reliability in communications.