Preprint Article Version 1 This version is not peer-reviewed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 (doi: 10.20944/preprints201805.0109.v1). Korkmaz, A. Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations. Preprints 2018, 2018050109 (doi: 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.

Subject Areas

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

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