Abstract
This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular, and W-shaped soliton solutions. The study investigates their dynamic behavior and physical characteristics, emphasizing the role of the conformable order derivative and temporal parameters through three-dimensional, two-dimensional, and contour plots. Incorporating multiplicative white noise into soliton analysis presents an innovative approach, advancing the understanding of nonlinear optical phenomena. Noise management techniques modeled in this study help simulate real-world scenarios where fibers face stochastic disturbances, aiding in the design of robust communication systems. Further, understanding noise's impact on soliton stability offers insights for minimizing errors in signal processing and enhancing the reliability of optical fiber communication networks.