Solving the motion equations of a viscous liquid with a nonlinear dependence between a velocity vector and some spatial variables

It is shown that the classes of exact solutions of Navier–Stokes equations with a linear and inversely proportional dependence between velocity components and some spatial variables can be expanded by adding finite perturbations, being power or trigonometric series or their sections on one of the coordinates. An example of single integration of three-dimensional equations of motion of a viscous liquid, which are reduced to an equation for the potential of two velocity components, is given.