  There are few approaches to the solution of a system of nonlinear
differential equations in partial derivatives, for example $\cite{NK87} -
\cite{EK98}$. In our paper we propose an approach that was used to solve the
Navier-Stokes equations in three dimensional space. This solution is described
in details in article "Existence, uniqueness and smoothness of solution for 3D
Navier-Stokes equations with any smooth initial velocity" $\cite{TT12}$. The
authors expect that it can be successfully applied to other systems of
nonlinear differential equations in partial derivatives.
