On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition

The quasi-hydrodynamic system was proposed by the author in 1993. It has deep connections with classical Navier-Stokes equations. In this paper exact solutions of quasi-hydrodynamic system, obeying the generalized Gromeka-Beltrami condition system, are constructed. These solutions also satisfy the Navier-Stokes system and have been found previously for it in a different way. In the non-stationary case they generalize well-known Jeffrey Ingram Taylor's solution.