Studying the nucleation and evolution of magnetic inhomogeneities of the soliton and breather type in magnetic materials with local inhomogeneities of anisotropy

Numerical methods were used to investigate the dynamics of 180° domain walls in magnets with inhomogeneous parameters of magnetic anisotropy and the conditions for the excitation and evolution of strongly nonlinear waves (solitons and breathers). Three types of magnetic inhomogeneities have been revealed, which appear in the region of the inhomogeneity of anisotropy; these are a damped quiescent breather, a quiescent breather transforming into a soliton, and a soliton. The ranges of the values of the parameters which determine the possibility of existence of each of these inhomogeneities have been determined.