Types of self-localized, magnetoelastic (ME) surface waves in antiferromagn
ets (AFs) are predicted, the existence of which is determined entirely by t
he nonlinear properties of the AFs. The frequency spectrum of the self-loca
lized ME surface waves is shown to lie in a gap between the upper quasimagn
on and lower quasiphonon branches of the harmonic ME spectrum. A nonlinear
Schrodinger equation for the envelope of ME waves is derived and its solito
nic solutions are obtained. When spin pinning or capillary effects on the s
urface of the crystal exist, we find that the nonlinear surface ME wave exc
ites the volume ME wave at fundamental harmonics carrying energy into the i
nterior of a crystal. (C) 1998 American Institute of Physics.