  In this paper, we investigate the analytical solutions of the compressible
Navier-Stokes equations with dependent-density viscosity. By using the
characteristic method, we successfully obtain a class of drifting solutions
with elliptic symmetry for the Navier-Stokes model wherein the velocity
components are governed by a generalized Emden dynamical system. In particular,
when the viscosity variables are taken the same as Yuen in [Yuen M.W. (2008),
Analytical Solutions to the Navier-Stokes Equations, J. Math. Phys. 49,
113102], our solutions constitute a generalization of that obtained by Yuen.
