Research is being conducted on the behavior of solitons under various types of noise in different equations, including the power-law nonlinear Schrödinger equation and the generalized schamel equation. The studies appear to be exploring the dynamics of solitons in stochastic environments, although the specific focus and equations being used vary. The topics of investigation seem to be related to soliton behavior, but the range of equations and approaches being studied suggests a broad area of inquiry.