The method of Lie group transformation is used to obtain an approximate analytical solution to the system of first-order quasilinear partial differential equations that gove a one-dimensional unsteady planer, cylindrically symmetric and spherically symmetric motion in a non-ideal gas, involving strong shock waves. Invariance groups admitted by the goveing system of partial differential equations, which are indeed continuous group of transformations under which the system of partial differential equations remains invariant, are determined, and the complete Lie algebra of infinitesimal symmetries is established. The infinitesimal generators are used to construct the similarity variables. These similarity variables are used to reduce the goveing system of partial differential equations into a system of ordinary differential equations.