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