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

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