The time-space behavior of ions and electrons, whose density and temperature are typical of laser multiphoton-ionization experiments, is analyzed from the point of view of the fluid approximation taking into account all nonlinear terms. The analytic methods of solution, already presented, are applied to describe the three-dimensional coupled motion of both ions and electrons, including also the growth of charges during the laser pulse. The theoretical predictions are compared with the experimental results observed in a three-photon ionization experiment in Na, with special regard to the analysis of the electron current behavior as a function of the externally applied electric field.