The modified sub equation method to Kolmogorov-Petrovskii-Piskunov equation

Abstract

The Kolmogorov-Petrovskii-Piskunov (KPP) equation (eq.) can be considered a generalized form of the Fisher, Huxley and Fitzhugh-Nagumo Eqs., which have applications in chemistry, biology and physics. In this article, the nonlinear KPP eq. is discussed with the modified sub equation method, one of the analytical methods. With the successfully implemented method, trigonometric and hyperbolic solutions of the KPP eq. are presented. 3 D, 2 D and contour graphics are presented by giving arbitrary values to the parameters in the solutions produced. Also, the attained results are compared with the existing solutions in the literature. The effectiveness and applicability of the applied method to nonlinear differential eqs. (NPDEs) are examined in this paper.

Keywords

• Kolmogorov–Petrovskii–Piskunov equation
• the modified sub equation method
• traveling wave solutions

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