On construction of exact solutions of stationary quasi-hydrodynamic system using Lin's substitution

New exact solutions of stationary quasi-hydrodynamic (QHD) system that do not satisfy either the Navier–Stokes equations or the Euler equations are described. With the help of Lin's substitution, the indicated QHD system was reduced to the system of ordinary differential equations, which was fully integrated. For $c_s\to +\infty$, where $c_s$ is the sound velocity in the liquid, the constructed solutions tend to the corresponding exact solutions of the Navier-Stokes system.