The general solution for the Navier-Stokes and the Schrödinger equations with pressure or potential in the form of a quadratic polynomial in three variables

The Schrödinger equation is related to the Navier-Stokes equation. The Navier-Stokes equation can be obtained from the Schrödinger equation in Cartesian coordinate system. As an intermediate version, the first integral of the Navier-Stokes equations is obtained. The separating constants in the first integral in the case of the Cartesian coordinate system for the potential energy are determined, and the solution of the Navier-Stokes and Schrödinger equations in the new conditions is determined. A complex turbulent and laminar actual flow in pipelines is described. But the profile description in the form of a pressure polynomial has its own problems. It is necessary to set the coefficients of the formula that describes the pressure.