Abstract
An invariant submodel, constructed in a subalgebra from the sum of a rotation and a displacement [1], is considered within the framework of the PODMODELI program. A group classification is carried out and the optimal system of subalgebras, which is compared with the optimal system of the basic model, is calculated. Furthermore, the system of equations of the submodel is reduced to a symmetric hyperbolic form. Simple solutions of this system, with pressure and density which depend solely on time, are considered. The characteristics, the characteristic conoid, trajectories and strong discontinuities are calculated for these simple solutions. The necessary conditions for the existence of a solution without a singularity on the axis are derived.
Sign-in/Register to access full text options 
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
