Construction of solutions to a degenerate reaction-diffusion system with a general nonlinearity in the cases of cylindrical and spherical symmetry

We consider a reaction-diffusion system with a general nonlinearity with cylindrical or spherical symmetry. For this system, we find a solution of the diffusion-wave type propagating over a zero background with a finite velocity. The solution is constructed as a Taylor series with recurrent coefficients whose convergence is proved by the majorant method and the Cauchy-Kovalevskaya theorem. The research is supplemented by numerical calculations based on the expansion in radial basis functions. This paper continues a series of our publications devoted to the study of wave-type solutions in the class of analytical functions.