Submitted:
29 December 2017
Posted:
03 January 2018
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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.
Keywords:
reaction-diffusion equations
; Newell-Whitehead-Segel equation
; Zeldovich equation
; exact solution
; traveling wave solution
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