Muminov, Kh. Kh.; Muhamedova, Sh. F. Numerical simulation of formation and evolution of dissipative breathers of the classical Heisenberg antiferromagnet model. (Russian. English summary) Zbl 1472.78030 Mat. Model. 25, No. 2, 33-41 (2013). Summary: In the present paper we conduct numerical simulation of the breather (soliton-like) solutions of classical Heisenberg antiferromagnetic acted upon by the variable external electromagnetic fields pumping and dissipation. The numerical recipe of simulation on the basic of stereographic projection is suggested avoiding singularities on the poles of the Bloch sphere. Parameters of regime of formation of dissipative breathers are determined. MSC: 78M20 Finite difference methods applied to problems in optics and electromagnetic theory 35C08 Soliton solutions 78A60 Lasers, masers, optical bistability, nonlinear optics 82D40 Statistical mechanics of magnetic materials Keywords:dissipative solitons; dissipation; pumping; nonlinearity; breather; isospin space; finite-difference method; stereographic projection PDFBibTeX XMLCite \textit{Kh. Kh. Muminov} and \textit{Sh. F. Muhamedova}, Mat. Model. 25, No. 2, 33--41 (2013; Zbl 1472.78030) Full Text: MNR