摘要 : A study has been carried out to obtain the similarity solutions and some exact solutions for two dimensional axisymmetric flow of Euler equations using Lie group analysis. For that a class of new similarity transformations are int... 展开 A study has been carried out to obtain the similarity solutions and some exact solutions for two dimensional axisymmetric flow of Euler equations using Lie group analysis. For that a class of new similarity transformations are introduced, called Lie group symmetries. Subgroups of this full group are then used to reduce the number of independent variables in the system in each step and finally the governing system of partial differential equations (PDEs) is reduced to system of ordinary differential equations (ODEs); in some cases, the ODEs are solved exactly and the corresponding solutions for the governing system of PDEs are obtained. 收起