This paper explains the modulation instability of two surface magnetostatic
spin waves simultaneously propagating in a ferromagnetic film. Self-modula
tion of the spin waves appears when their power reaches a threshold, and th
is is a sign of cross-phase modulation. The parameters of the unstable proc
ess are calculated, and the gains of the perturbation amplitudes are determ
ined. The results published earlier on the experimental detection of the cr
oss-phase modulation of spin waves are explained. (C) 1999 American Institu
te of Physics. [S1063-7761(99)01412-2].