Dispersive optical solitons with Schrödinger–Hirota model having multiplicative white noise via Itô Calculus

The current work is on the retrieval of dispersive stochastic optical solitons that are modeled by the Schrödiner–Hirota equation with the fiber maintaining power law of nonlinearity. The stochasticity, from the multiplicative white noise effect, leads to the implementation of the Itô Calculus. The ϕ6–expansion scheme yields soliton solutions with the limiting approach being applied to Jacobi's elliptic functions with respect to the modulus of ellipticity. •The Schrödiner–Hirota equation is considered.•Dispersive stochastic optical solitons are reported.•Power law of nonlinear refractive index and multiplicative white noise are addressed.