Abstract
Riemann derived two equations for unsteady isentropic one-dimensional fluid flow which by means of a transformation can be conflated into a single equation. We perform a symmetry analysis of this equation and find that the number of Lie point symmetries is not what one would expect for an hyperbolic equation. We use some of the symmetries to construct basis solutions and the others as creation operators to generate further solutions. Included in the solutions we obtain are polynomial solutions which remind one of the heat polynomials found as solutions of the classical heat equation.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
