Supersymmetry and Convection-Diffusion-Reaction equations

2022/09/04 by Choon-Lin Ho, Ho, Choon-Lin
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2209.01647

openalex publication_date 2022/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we are concerned with generating solutions of a class of Convection-Diffusion-Reaction equation from the solutions of another CDR equation through the Darboux transformations. The method is elucidated by cases with certain types of the reaction coefficients. We have also discussed briefly supersymmetric pairs of Convection-Diffusion-Reaction equations connected through similarity solutions.

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