  The scattering of electromagnetic waves by an obstacle is analyzed through a
set of partial differential equations combining the Maxwell's model with the
mechanics of fluids. Solitary type EM waves, having compact support, may easily
be modeled in this context since they turn out to be explicit solutions. From
the numerical viewpoint, the interaction of these waves with a material body is
examined. Computations are carried out via a parallel high-order
finite-differences code. Due to the presence of a gradient of pressure in the
model equations, waves hitting the obstacle may impart acceleration to it. Some
explicative 2D dynamical configurations are then studied, enabling the study of
photon-particle iterations through classical arguments.
