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We consider solvability of the generalized reaction-diffusion equation withboth space- and time-dependent diffusion and reaction terms by means of thesimilarity method. By introducing the similarity variable, thereaction-diffusion equation is reduced to an ordinary differential equation.Matching the resulting ordinary differential equation with known exactlysolvable equations, one can obtain corresponding exactly solvablereaction-diffusion systems. Several representative examples of exactly solvablereaction-diffusion equations are presented.

Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms