Traveling magnetization waves in diluted magnetic material

The magnetization evolution of the paramagnetic matrix and ferromagnetic admixture ions is considered using the continuous medium model. A dynamical equation system is derived. Two possible solutions are obtained. The first is a travelling wave of finite amplitude, which is stable in the system with a ferromagnetic interaction of admixture ions. The second solution is a soliton; its amplitude and velocity are determined by the exchange energy of the admixture ions and dipole interaction between them and the bulk matrix. The dipolar coupling of the bulk lattice and admixture ions has a significant effect on the solution stability.