Abstract
A general nonlinear parabolic equation for the complex perturbation amplitude, which describes the diffusion complicated by chemical transformations, is derived by reduction of the diffusion equation with a nonlinear source written in the general form and also by reduction of the Brusselator model. For both cases, analytical solutions accurate to a 3 are found. It is shown that the results of the previous analysis of the numerical solution of the general nonlinear parabolic equation for a large class of unstable physical, hydrodynamic, physicochemical, and chemically reactive systems are applicable to studying the diffusion accompanied by chemical transformations.
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