<p>This research examines the derivation of accurate optical bullet solutions for the stochastically perturbed nonlinear Schrödinger equation, which characterizes the propagation of optical bullets in interconnected metamaterial fibers. This model exhibits considerable significance due to its implications within the domain of contemporary optical communication technologies and the dynamics of nonlinear waves in the presence of stochastic perturbations. To address the issue, we utilize three advanced analytical methodologies: the extended simple equation method, the Csch method, and the Tanh method. These methodologies facilitate the systematic and unified development of various exact traveling wave solutions, encompassing periodic, solitary, and singular waveforms. The investigation highlights the emergence of diverse bullet-like patterns shaped by stochastic disturbances, effectively illustrates the interaction between nonlinearity and randomness in complex physical systems. The findings pave the way for further investigation into stability analysis, stochastic wave structure control, and potential applications in optical communication and photonic technology.</p>