Submitted:
05 May 2018
Posted:
07 May 2018
You are already at the latest version
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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
