Explicit and Exact Traveling Wave Solutions of Cahn Allen Equation Using MSE Method

Comment: I believe that the name of Eq. (5) (with m=3) used in this preprint is inappropriate. The authors should know that this equation is simply a particular case of the famous Fitzhugh--Nagumo equation introduced in [1-2]. On the other hand, it is nothing elase but the real case of the classical Newell=Whitehead model [3]. Travelling wave solutions of Eq. (5) (with m=3) were found for the first time in [4] and then rediscovered in several papers in the 1990s See more references in the extensive list in Chapter 1 of the recent monograph "Nonlinear Reaction-Diffusion Systems -- Conditional Symmetry, Exact Solutions and their Applications in Biology"(2017) http://www.springer.com/gp/book/9783319654652 The authors should compare their results with those obtained about 25--30 years ago otherwise it is not clear what essentially they have done. [1] Nagumo, J.S., Arimoto, S., Yoshizawa, S.: An active pulse transmission line simulating nerve axon. Proc. IRE v. 50, 2061–-2071 (1962) [2] Fitzhugh, R.: Impulse and physiological states in models of nerve membrane. Biophys. J. v.1 , 445--466 (1961) [3] Newell,Alan C. and Whitehead,J. A. Finite bandwidth, finite amplitude convection Journal = {Journal of Fluid Mechanics}, Year = {1969}, Pages = {279--303}, Volume = {38}, [4] Kawahara, T., Tanaka, M.: Interactions of traveling fronts: an exact solution of a nonlinear diffusion equation. Phys. Lett. A \textbf{97}, 311--314 (1983)