Dispersive optical soliton perturbation with multiplicative white noise having parabolic law of self-phase modulation

In this paper, we investigate dispersive optical solitons incorporating multiplicative white noise. Utilizing the F-expansion procedure, we derive various soliton solutions, including dark soliton solutions, singular soliton solutions, bright soliton solutions, straddled singular-singular soliton solutions, complexiton solutions, and straddled dark-bright soliton solutions. Moreover, we discuss the parametric restrictions necessary for the existence of these soliton solutions, providing a comprehensive analysis of the conditions under which these solutions are valid. Our findings contribute to the understanding of the dynamics of perturbed nonlinear wave equations in the presence of stochastic influences.