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

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Celal Bayar Üniversitesi Fen Bilimleri Dergisi
Cilt: 21 Sayı: 3
The modified sub equation method to Kolmogorov-Petrovskii-Piskunov equation

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

Authors : Hülya Durur

Pages : 137-144

Doi:10.18466/cbayarfbe.1575598

View : 30 | Download : 48

Publication Date : 2025-09-26

Article Type : Research Paper

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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