A type of self-localized, surface, dipole-exchange spin wave on a ferr
omagnet is predicted, the existence of which is controlled entirely by
the nonlinear properties of the ferromagnetic medium. Dispersion equa
tions have been obtained for dipole-exchange nonlinear spin waves and
the influence of second-harmonic generation on the wave, propagating a
t the fundamental frequency, is investigated. The nonlinear Schrodinge
r equation, for the spin-wave envelope amplitude, is derived and its s
olitonic solutions are discussed. Estimates of the threshold values of
the wave numbers of the propagating waves are obtained.