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Supersymmetry and Convection-Diffusion-Reaction equations

Published 4 Sep 2022 in math-ph, cond-mat.other, cond-mat.stat-mech, math.MP, and quant-ph | (2209.01647v1)

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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