Applications of some recent techniques for the exact solutions of the small disturbance potential flow equation of nonequilibrium transonic gas dynamics
Using the isovector approach as developed in [1] and the direct method of Clarkson and Kruskal [2], we have obtained similarity and other reductions to ordinary differential equations and exact solutions of the small disturbance potential flow equation in two dimension nonequilibrium transonic gas dynamics; namely, K (C phi (chi) - A) phi (chi chi chi) + KC phi (2)(chi chi) + D phi (chi)phi (chi chi) - K phi (chi gamma gamma) - B phi (chi chi) - phi (gamma gamma) = 0 Further, the Lie algebra of the transformation groups yielded by the isovector approach has enabled us to remark on its solvability and nilpotency. (C) 2000 Elsevier Science Ltd. All rights reserved.
isovector direct method lie algebra similarity reductions