F. Oliveri et Mp. Speciale, Exact solutions to the unsteady equations of perfect gases through Lie group analysis and substitution principles, INT J N-L M, 37(2), 2002, pp. 257-274
In this paper. we consider the unsteady equations that govern two- and thre
e-dimensional flows of a perfect gas. We explicitly characterize various cl
asses of exact solutions by introducing some invertible transformations sug
gested by the invariance with respect to Lie groups of point symmetries and
using suitable transformations known in literature as substitution princip
les. (C) 2001 Elsevier Science Ltd. All rights reserved.