Under certain conditions the hydrodynamic triad equations describing anisotropic spin glasses may be reduced to the sine-Gordon equation with the usual soliton solutions. Among the observable effects produced by the solitons is the generation of a satellite line near the Larmor line in the electron spin resonance absorption spectrum, the frequency of which depends linearly on nu , the soliton velocity which acquires a non-zero value in the presence of a time-varying magnetic field.