Euler Incognito

TL;DR

This paper shows that a class of nonlinear flow equations can be transformed into the Euler equation, simplifying their analysis and linking them to classical mathematical physics.

Contribution

It demonstrates a unifying change of variables that reduces complex nonlinear flow equations to the Euler equation, revealing their underlying structure.

Findings

Nonlinear flow equations can be transformed into Euler equations.

The transformation simplifies analysis of these equations.

Links between modern flow equations and classical physics are established.

Abstract

The nonlinear flow equations discussed recently by Bender and Feinberg are all reduced to the well-known Euler equation after change of variables.