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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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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