The local nonlinear excitation caused by the magnon-phonon interaction
s as an anisotropic source of nonlinearity is studied. The nonlinear e
quation for the Schrodinger probability amplitude of spin motion is gi
ven, and its soliton solutions are obtained in a weak coupling approxi
mation. The existence conditions are discussed. It is shown that the s
oliton excitation energy can be less than a one-magnon state and a gap
appears in the energy spectrum. The effect of the magnon-magnon inter
actions on the local acoustic soliton excitation is also discussed.