The wavy propagation of the local zones captured by negative erosion along the energetic material burning surface is implied under the phenomenon of waves of negative erosion. The key to the understanding of this effect is the electro-chemical phenomena in the reactionary zone of burning energetic material. It is proposed that the phenomenon of excitation of periodic toroidal vortex micro-structures over the burning surface plays a key role in the realization of the phenomenon of negative erosion. The boundary of existence of the phenomenon of negative erosion is determined by stability of self-organized toroidal-shaped vortex microstructures in the stream of the combustion products which is blowing the burning surface. (C) 2012 Elsevier B.V. All rights reserved.