Lie–Trotter Splitting for the Nonlinear Stochastic Manakov System

This article analyses the convergence of Lie–Trotter splitting scheme for stochastic Manakov equation, a system arising in study pulse propagation randomly birefringent optical fibers. First, we prove that strong order numerical approximation is 1/2 if nonlinear term globally Lipschitz. Then, show has probability and almost sure $${{\frac{1}{2}-}}$$ case cubic nonlinearity. We provide several experiments illustrating aforementioned results efficiency scheme. Finally, numerically investigate possible blowup solutions some power-law nonlinearities.