  Three dimensional anisotropic XY ferromagnet driven by elliptically polarized
propagating magnetic field wave has been extensively investigated by Monte
Carlo simulation with Metropolis single spin flip algorithm. Both the effects
of the bilinear exchange type and the single site anisotropies are thoroughly
investigated. The time average magnetisation (over the complete cycle of the
elliptically polarized propagating magnetic field wave) components play the
role of dynamic order parameter. For fixed set of values of the strength of
anisotropy and the field amplitudes, the system has been found to get
dynamically ordered at a pseudocritical temperature. The pseudocritical
temperature of such dynamic nonequilibrium phase transition has been found to
depend on both the strength of anisotropy and the amplitudes of the
elliptically polarized propagating magnetic field wave. A comprehensive phase
diagram is represented here in the form of image plot of the pseudocritical
temperature in the plane formed by the strength of anisotropy and field
amplitudes. Interestingly, this nonequilibrium phase transition has been found
discontinuous (first order) for higher values of the field amplitude and lower
values of the anisotropy. On the other hand, the continuous (second order)
transition has been noticed for lower values of the field amplitude and higher
values of the anisotropy.
