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

Alper Korkmaz

doi:10.20944/preprints201801.0018.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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.

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

Computer Science and Mathematics, Mathematics

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

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