  We investigate, using a multi-fluid approach, the main properties of standing
ion-acoustic modes driven by nonlinear standing Alfv\'en waves. The standing
character of the Alfv\'enic pump is because we study the superposition of two
identical circularly polarised counter-propagating waves. We consider parallel
propagation along the constant magnetic field and we find that left and
right-handed modes generate via ponderomotive forces the second harmonic of
standing ion-acoustic waves. We demonstrate that parametric instabilities are
not relevant in the present problem and the secondary ion-acoustic waves
attenuate by Landau damping in the absence of any other dissipative process.
Kinetic effects are included in our model where ions are considered as
particles and electrons as a massless fluid, and hybrid simulations are used to
complement the theoretical results. Analytical expressions are obtained for the
time evolution of the different physical variables in the absence of Landau
damping. From the hybrid simulations we find that the attenuation of the
generated ion-acoustic waves follows the theoretical predictions even under the
presence of a driver Alfv\'enic pump. Due to the nonlinear induced ion-acoustic
waves the system develops density cavities and an electric field parallel to
the magnetic field. Theoretical expressions for this density and electric field
fluctuations are derived. The implications of these results in the context of
standing slow mode oscillations in coronal loops is discussed.
