A class of exactly solvable Convection-Diffusion-Reaction equations in similarity form with intrinsic supersymmetry

TL;DR

This paper introduces a class of convection-diffusion-reaction equations that are exactly solvable and exhibit intrinsic supersymmetry, linking solutions and diffusion coefficients through similarity scaling.

Contribution

It presents a novel class of exactly solvable equations with intrinsic supersymmetry relating solutions and diffusion coefficients.

Findings

Derived a class of exactly solvable convection-diffusion-reaction equations

Established supersymmetric relations between solutions and diffusion coefficients

Demonstrated the applicability of similarity forms in solving these equations

Abstract

In this work we would like to point out the possibility of generating a class of exactly solvable convection-diffusion-reaction equation in similarity form with intrinsic supersymmetry, i.e., the solution and the diffusion coefficient of the equation are supersymmetrically related through their similarity scaling forms.