Numerical simulation of oscillating topological solitons in 2D O(3) nonlinear sigma model

Abstract

Dynamics of interaction of topological solitons (vortices) in (2+1)-dimensional O(3) nonlinear sigma model in anisotropic case are investigated. By numerical simulation methods is shown that the changes of rotation frequency of isotopic spin in the fiber space leads to an oscillatory dynamics of topological solitons. The models of interaction of oscillating topological solitons are obtained and their properties are investigated.

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