Optimal control Dinger equation Doping prole Ekeland's principle First-order optimality condition Hartree potential Integral equations Internal controllability Internal controls Noise immunity Non-homogeneous Nonlinear Schrödinger equation Nonlinear Schrödinger-Poisson Nonlinear equations Nonlinear optics Optical fibers Optimal controls Optimal distributed control problem Pontryagin principle Smoothing effects State constraints nematic liquid crystals nonlinear Schrodinger equations optical solitons