Solar chromosphere and photosphere, as well as solar atmospheric structures, such as
prominences and spicules, are made of partially ionized plasmas. Observations have reported the
presence of damped or amplified oscillations in these solar plasmas, which have been interpreted in
terms of magnetohydrodynamic (MHD) waves. Slow magnetoacoustic waves could be responsible
for these oscillations. The present study investigates the temporal behavior of the field-aligned
motions that represent slow magnetoacoustic waves excited in a partially ionized prominence plasma
by the ponderomotive force. Starting from single-fluid MHD equations, including radiative losses,
a heating mechanism and ambipolar diffusion, and using a regular perturbation method, firstand second-order partial differential equations have been derived. By numerically solving secondorder equations describing field-aligned motions, the temporal behavior of the longitudinal velocity
perturbations is obtained. The damping or amplification of these perturbations can be explained in
terms of heating–cooling misbalance, the damping effect due to ambipolar diffusion and the variation
of the first adiabatic exponent with temperature and ionization degree.