The magnetophotoluminescence in modulation doped core-multishell nanowires is predicted as a function of photoexcitation intensity in nonperturbative transverse magnetic fields. We use a self-consistent field approach within the effective mass approximation to determine the photoexcited electron and hole populations, including the complex composition and anisotropic geometry of the nanomaterial. The evolution of the photoluminescence is analyzed as a function of (i) photoexcitation power, (ii) magnetic field intensity, (iii) type of doping, and (iv) anisotropy with respect to field orientation.