Alternative systems of the dislocation density partial differential equation for the torsional stiffness of rods

On the base of the theory of elasticity, the equations governing a dynamics of the dislocation density for the torsional stiffness of rods is obtained. In is presented a basic scheme to apply the method of additional argument for solving a first-order nonlinear partial differential equation assigned within the framework of an approach under consideration to describe pseudoequilibrated dissipative structures.