An analysis was made, of the non-linear dynamics of perturbations of the dislocation density and elastic field, by using an evolution model which took account of the negative velocity sensitivity of the deforming stresses. As a result of the evolution of domain instability, it was observed that periodic and isolated solutions (solitons) existed for the initial variables.

Domain Instability in an Ensemble of Dislocations during the Plastic Deformation of Crystals. G.F.Sarafanov: Technical Physics Letters, 1998, 24[4], 305-7