ARTICLE | doi:10.20944/preprints201801.0018.v1
Subject: Keywords: reaction-diffusion equations; Newell-Whitehead-Segel equation; Zeldovich equation; exact solution; traveling wave solution
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.