We present an approach to determining the speed of wave-front solutions to reaction-transport processes. This method is more accurate than previous ones. This is explicitly shown for several cases of practical interest: (i) the anomalous diffusion reaction, (ii) reaction diffusion in an advective field, and (iii) time-delayed reaction diffusion. There is good agreement with the results of numer...

A previous paper by our research group introduced the nonlinear multitime reaction–diffusion PDE (with oblique derivative) as a generalized version of single-time model. This states and uses some hypotheses that allow finding important explicit families exact solutions for PDEs any dimension have multitemporal directional derivative term. Some direct methods determining from mathematical physic...