Classes of solution for a system of one-dimensional motion of a gas

摘要

By means of asymptotic and the machinery of Lie group analysis to the equation of the one-dimensional motion of a gas under the influence of monochromatic radiation, is reduced to ODEs. For them several classes of exact solutions are deduced. They are expressed in terms of various absorption coefficients and some cases of plane and cylindrical symmetry. A new family of numerical solutions is presented for some cases of the absorption coefficient.