Time delay in random scattering
SIAM Journal on Applied Mathematics
A multilevel method for the resolution of a stochastic weakly damped nonlinear Schro¨dinger equation
Applied Numerical Mathematics
New conservation schemes for the nonlinear Schrödinger equation
Applied Mathematics and Computation
Variational iteration method for solving cubic nonlinear Schrödinger equation
Journal of Computational and Applied Mathematics
The homotopy Wiener-Hermite expansion and perturbation technique (WHEP)
Transactions on computational science I
Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation
Mathematical and Computer Modelling: An International Journal
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In this paper, a stochastic nonlinear Schrodinger equation is studied under stochastic complex non-homogeneity in a limited time interval through homogeneous boundary conditions and complex initial conditions. The analytical solution for the linear case is introduced. The Wiener-Hermite expansion together with the perturbation method, the WHEP technique, is used to get approximate ensemble average of the stochastic solution process. Using Mathematica, the solution algorithm is tested through computing the first order approximation of the solution ensemble average. The method is illustrated through case studies which demonstrate the effects of the initial conditions as well as the input non-homogeneities.