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e study the solitons, stabilized by spin precession in a classicaltwo--dimensional lattice model of Heisenberg ferromagnets with non-smalleasy--axis anisotropy. The properties of such solitons are treated bothanalytically using the continuous model including higher then second powers ofmagnetization gradients, and numerically for a discrete set of the spins on asquare lattice. The dependence of the soliton energy $E$ on the number of spindeviations (bound magnons) $N$ is calculated. We have shown that thetopological solitons are stable if the number $N$ exceeds some critical value$N_{\rm{cr}}$. For $N < N_{\rm{cr}}$ and the intermediate values of anisotropyconstant $K_{\mathrm{eff}} <0.35J$ ($J$ is an exchange constant), the solitonproperties are similar to those for continuous model; for example, solitonenergy is increasing and the precession frequency $ \omega (N)$ is decreasingmonotonously with $N$ growth. For high enough anisotropy $K_{\mathrm{eff}} >0.6 J$ we found some fundamentally new soliton features absent for continuousmodels incorporating even the higher powers of magnetization gradients. Forhigh anisotropy, the dependence of soliton energy E(N) on the number of boundmagnons become non-monotonic, with the minima at some "magic" numbers of boundmagnons. Soliton frequency $\omega (N)$ have quite irregular behavior withstep-like jumps and negative values of $\omega $ for some regions of $N$. Nearthese regions, stable static soliton states, stabilized by the lattice effects,exist.Comment: 17 page

Finite energy solitons in highly anisotropic two dimensional ferromagnets