Preprint Article Version 1 This version is not peer-reviewed

Complex Wave Solutions to Mathematical Biology Models I: Newell-Whitehead-Segel and Zeldovich Equations

Version 1 : Received: 29 December 2017 / Approved: 3 January 2018 / Online: 3 January 2018 (03:34:43 CET)

How to cite: Korkmaz, A. Complex Wave Solutions to Mathematical Biology Models I: Newell-Whitehead-Segel and Zeldovich Equations. Preprints 2018, 2018010018 (doi: 10.20944/preprints201801.0018.v1). Korkmaz, A. Complex Wave Solutions to Mathematical Biology Models I: Newell-Whitehead-Segel and Zeldovich Equations. Preprints 2018, 2018010018 (doi: 10.20944/preprints201801.0018.v1).

Abstract

Complex and real valued exact solutions to some reaction-diffusion equations are suggested by using homogeneous balance and Sine-Gordon equation expansion method. The predicted solution of finite series of some hyperbolic functions are determined by using some relations between the hyperbolic functions and trigonometric functions based on Sine-Gordon equation and traveling wave transform. The Newel-Whitehead-Segel and Zeldovich equations are solved explicitly. Some real valued solutions are depicted for some particular choice of parameters.

Subject Areas

reaction-diffusion equations; Newell-Whitehead-Segel equation; Zeldovich equation; exact solution; traveling wave solution

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