Two simple solutions of nonlinear Fokker - Planck equation for incompressible fluid

TL;DR

This paper presents two straightforward solutions to the nonlinear Fokker-Planck equation specific to incompressible fluids and examines their properties, providing insights into their applicability and accuracy.

Contribution

The paper introduces two novel, simplified solutions to the nonlinear Fokker-Planck equation for incompressible fluids, correcting previous coefficient errors.

Findings

Solutions are mathematically consistent and applicable to incompressible fluids.

Corrected coefficients improve solution accuracy.

Solutions offer potential for simplified modeling of fluid dynamics.

Abstract

In this article we derive two simple solutions of nonlinear Fokker - Planck equation for incompressible fluid and investigate their properties. In the second version errors in coefficients Imn and Jmn values are corrected.