Exact analytical solution of self-congruent equations of plasma hydrodynamics with absorbing boundary conditions

One derived precise analytical solutions of one-dimensional self-congruent system of nonlinear equations of plasma hydrodynamics with the absorbing boundary conditions at conducting surface of an electrically isolated body. The mentioned solutions were derived due to the fact that the law of electric charge conservation written as an explicit equation offered one more integral of motion of the equation system and enabled to determine simultaneously distribution of charged particles and their varying total number. One determined the values of the electric field intensity, of the velocity and of the concentration of plasma electrons