M. Bellini et al., A PROPOSAL FOR THE ANALYTICAL SOLUTION OF STATIONARY ONE-DIMENSIONAL REACTION-DIFFUSION EQUATIONS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(5), 1997, pp. 767-773
A method is proposed which allows to find exact stationary solutions o
f one-dimensional reaction-diffusion (1DRD) equations, whenever both t
he reaction term and the diffusion coefficient are known as functions
of the spatial variable. The method relies on mapping the 1DRD equatio
n onto a Schrodinger one.