This article introduces a novel governing model characterized by stochastic long-short wave resonant equations with multiplicative white noise applicable in fields such as telecommunications and climate modeling. The study aims to explore chirped and chirp-free soliton solutions within this framework. Using Jacobi's elliptic function method as our primary methodology, we have successfully derived various soliton solutions, including solitary waves, singular solitons, and dark and bright soliton forms which can be relevant in optical communication and nonlinear optics. Significantly, our analysis has facilitated the extraction