Group-invariant solutions for one dimensional, inviscid hydrodynamics
Group-invariant solutions for one dimensional, inviscid hydrodynamics
In this paper, the results of the Lie group method carried out by Ovsiannikov are utilized to study the one-dimensional hydrodynamic equations governing compressible, inviscid fluid flow in the absence of heat conduction. One-parameter subgroups of the admissible R-parameter Lie group of point transformations of the system are applied to …