About parametric solutions of partial differential equations; applications to transonic gas dynamics

In this work the method of constructing of the parametric solutions of partial differential equations is offered. The parametric solutions of transonic gas dynamic equation are constructed in terms of this method, their classification is carried, and the applications are showed for solutions of specific physic problems. Particularly, the solutions of simple wave are derived, and the solutions, describing gas flows with local supersonic zones in Laval nozzles, are constructed.