The properties of dynamical solitons (magnon droplets) in the classical, tw
o-dimensional anisotropic Heisenberg model with easy-axis exchange anisotro
py are studied. The solution of the Landau-Lifshitz equation in the continu
um limit for the soliton with topological charge q = 1 is obtained numerica
lly using a shooting method. We analized a wide range of the anisotropy par
ameter and our results are in good agreement with results obtained from spi
n dynamics simulations. The dependence of an internal precession frequency
of the soliton on both the anisotropy parameter and the radius of the solit
on is also investigated. Finally, the limits of applicability of the contin
uum approach are discussed.