Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations

Version 1 : Received: 5 May 2018 / Approved: 7 May 2018 / Online: 7 May 2018 (08:35:54 CEST)

How to cite: Korkmaz, A. Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations. Preprints 2018, 2018050109. https://doi.org/10.20944/preprints201805.0109.v1 Korkmaz, A. Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations. Preprints 2018, 2018050109. https://doi.org/10.20944/preprints201805.0109.v1

Abstract

We extended the usage of the expansion method based on Sine-Gordon equation to the two dimensional Fisher equation. The relation between the trigonometric and hyperbolic functions are derived from the Sine-Gordon equation de ned in two space dimension. The complex-valued traveling wave solutions to the two dimensional Fisher and Nagumo equations are set in forms a nite series of multiplications of powers of sech(.) and tanh(.) functions.

Keywords

reaction-diffusion equations; two dimensional Fisher Equation; Nagumo Equation; Kolmogorov-Petrovsky-Piskunov equation; traveling wave solution

Subject

Computer Science and Mathematics, Applied Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.