Approximated exponential integrators for the stochastic Manakov equation

This article presents and analyzes an approximated exponential integrator for the (inhomogeneous) stochastic Manakov system. system of SPDE occurs in study pulse propagation randomly birefringent optical fibers. For a globally Lipschitz-continuous nonlinearity, we prove that strong order time is $ 1/2 $. then used to has convergence probability almost sure 1/2^{-} $, case cubic nonlinear coupling which relevant Finally, present several numerical experiments support our theoretical findings illustrate efficiency as well modified version it.