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By methods of numerical simulations the dynamics of interaction of radiallysymmetric Bellavin-Polyakov type topological vortex in (2+1)-dimensional O(3)nonlinear sigma model is investigated. Obtained numerically the model oftopological vortex decay for different values of radius of ring-shapedstructure of their energy density onto the localized perturbations, where thesum of Hopf index is preserved. It is shown that the stability of topologicalsolitons, in particularly, depends on the values of radius of ring-shapedstructure of their energy density.

Dynamics of interaction of radially symmetric topological solitons in two-dimensional nonlinear sigma model