ON STABLE 2-DIMENSIONAL SOLITONS AND NONU NIFORM STATES IN MAGNETS WITHOUT INVERSION CENTER

The two-dimensional localized magnetic solitons are considered in the magnets, having no Inversion centre, with a due regard of the anisotro py in the basal plane, It is shown that static solitons in the magnets of the above type are stable with respect to the Lyapunov criterion. The stabilization mechanism of soliton is defined by the invariants pr esent in the magnetic energy and linear with respect to gradients. The properties of the solitons vary when even the infinitesimal anisotrop y in the basal plane is taken into account. In the models of uniaxial magnets considered earlier, the soliton energy may be as small as one likes but at the finite anisotropy of such type it has the finite valu e over a whole range of the thermodynamic stability of homogeneous bas ic state. Even negligible anisotropy in the basal plane causes a signi ficant variation in the structure of soliton of rather great radius.