Dispersive optical solitons in birefringent fibers for stochastic Schrödinger–Hirota equation with parabolic law nonlinearity and spatiotemporal dispersion having multiplicative white noise

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Object:The objective of this article is to study the stochastic Schrödinger–Hirota equation with parabolic law nonlinearity and spatiotemporal dispersion (STD) in birefringent fibers having multiplicative white noise in the Itô sense. Method:The Jacobi-elliptic expansion approach and the extended auxiliary equation algorithm are utilized. Result:The Jacobi-elliptic solutions, bright solitons, dark solitons, singular solitons and periodic solutions of the given system are introduced.