We look for series solutions of a non linear reaction diffusion equation that is similar to the K.P.P. equation by using a variant of the decomposition method. The solution is expressed through a sum of Hermite functions, and is shown to be a classical one. The obtained algorithm can be used to approximate these solutions.
"Series solutions for KPP type equations." Differential Integral Equations 21 (3-4) 235 - 246, 2008.