Nonlinear surface spin waves on ferromagnetic media with inhomogeneous exchange anisotropies: soliton solutions

The nonlinear surface spin waves in ferromagnets with pure inhomogeneous ex change anisotropies have been considered. The boundary condition for magnet ization of this system is derived. The nonlinear dispersion relation for th ese waves is obtained, and the modulation of the inhomogeneous exchange con stants is investigated. The two-dimensional nonlinear Schrodinger equation satisfied by the spin-wave envelope amplitude is derived for the first time , and conditions for the existence of a single solitonic solution are discu ssed. A soliton solution is presented as an example. (C) 2001 Elsevier Scie nce B.V. All rights reserved.