...Harshita; G. Nath Purpose This article aims to obtain similarity solutions for self-gravitating perfect gas with variable density under the effect of axial or azimuthal magnetic field in rotating medium using Lie group theoretic method and optimal classification of sub-algebras. Design...

.../approach The Lie group theoretic method given by Sophus Lie is used to obtain the similarity solution in the present article. Findings Similarity solution with exponential law shock path is obtained for both ideal and nonideal gas cases. The effects on the flow variables, density ratio at the shock...