Specific features of nonlinear spin wave localization in a layered ferromagnet under the action of the magnetic anisotropy of layers

A trilayer structure model has been investigated, in which uniaxial ferromagnetic layers and thin-film interfaces between them are characterized by the magnetic anisotropy. The magnetization perturbation induced in this structure is described by the nonlinear Schrödinger equation with a nonlinear potential, which simulates the interfaces between ferromagnetic layers. It is shown that, in this structure, two types of nonlinear spin waves can propagate along the layers, which are induced by the nonlinearity of the interfaces caused by their magnetic anisotropy. The frequencies of such localized stationary states of spin waves have been obtained in the explicit analytical form. The conditions for the existence of these states, depending on the characteristics of the layers and interfaces between them, have been established.