Numerical simulation of breathers interactions in two-dimensional O(3) nonlinear sigma model

By numerical simulation methods the interactions of oscillating solutions (breathers) of the (2+1)-dimensional O(3) nonlinear sigma model is investigated. The models of head-on collisions in which the interacting breathers, in particular, are combined into a single oscillating soliton, the reflections from each other and pass through each other are obtained.