A system of equations was formulated to describe the self-consistent behavior of elastic displacement fields and the concentration field of point defects in irradiated crystals with a symmetry center (germanium, silicon). In accordance with the values of the defect relaxation times, the model evolution equations were derived, describing the steady-state non-linear longitudinal waves, with regard to the flexo-electric effect. The effect was due to the dielectric polarization induced by non-uniform elastic deformations of the lattice. For a particular relationship between the coefficients of these equations, i.e., between the parameters of the subsystem of defects and those of the non-linear elastic medium, the exact solutions were obtained, which describe the generation of solitons and low-intensity shock waves. The contributions of the strain-defect interaction and the flexo-electric effect to the linear velocity of sound and the dispersion properties of the medium were estimated.

Non-Linear Longitudinal Waves of Interacting Fields of Deformation and Defect Concentration in Germanium and Silicon. F.K.Mirzade: Semiconductors, 2006, 40[3], 262-9