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

2024/09/14 by Choon-Lin Ho, Ho, Choon-Lin
Mathematics · Earth and Planetary Sciences · #Differential Equations and Numerical Methods #Aquatic and Environmental Studies #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2409.09503

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.

Related

• Supersymmetry and Convection-Diffusion-Reaction equations
• Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms
• A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations
• New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. II
• New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III