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

Harun-Or- Roshid; M. Zulfikar Ali; Md. Rafiqul Islam

doi:10.20944/preprints201701.0018.v1

Comment 1

Received: 9 October 2017
The commenter has declared there is no conflict of interests.

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
FitzhughNagumo 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 2530 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 , 445466 (1961) [3] Newell,Alan C. and Whitehead,J. A. Finite bandwidth, finite amplitude convection
Journal = {Journal of Fluid Mechanics},
Year = {1969},
Pages = {279303}, Volume = {38},

[4] Kawahara, T., Tanaka, M.:
Interactions of traveling fronts: an exact solution of a nonlinear
diffusion equation.
Phys. Lett. A \textbf{97}, 311314 (1983)

+ Respond to this comment

Your full name

Your affiliation information (e.g., name of your university/institution/organization)

Not displayed online.

Your Email address (not made public)

Please leave your comment to this article below.

Mathematical equations can be typed in either LaTeX formats \\[ ... \\] or $$ ... $$, or MathML format <math> ... </math>. Try the LaTeX or MathML example.

Type equation:

Preview:

Copy equation into message below

Close menu

Please click a symbol to insert it into the message box below:

Please enter the link here:

Optionally, you can enter text that should appear as linked text:

Copy link into message below

Please enter or paste the URL to the image here (please only use links to jpg/jpeg, png and gif images):

Copy image into message below

Type author name or keywords to filter the list of references in this group (you can add a new citation under Bibliography):

No existing citations in Discussion Group

Wikify editor is a simple editor for wiki-style mark-up. It was written by MDPI for Sciforum in 2014. The rendering of the mark-up is based on Wiky.php with some tweaks. Rendering of mathematical equations is done with MathJax. Please send us a message for support or for reporting bugs.

Please declare any conflicts of interest you may have with this paper, financial or otherwise.

I do not have a conflict of interest

I would like to declare a conflict of interest

Display my name on the website I want to get recognition for my comment on Publons

[what’s this?]. Link your accounts here

Captcha

Renew

I accept the following conditions:

Comments must follow the standards of professional discourse and should focus on the scientific content of the article. Insulting or offensive language, personal attacks and off-topic remarks will not be permitted. Comments must be written in English. Preprints reserves the right to remove comments without notice. Readers who post comments are obliged to declare any competing interests, financial or otherwise.

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

Abstract

Subject Areas

Comments (1)