TY  - JOUR
T1  - The modified sub equation method to Kolmogorov-Petrovskii-Piskunov equation
AU  - Durur, Hülya
PY  - 2025
DA  - September
Y2  - 2025
DO  - 10.18466/cbayarfbe.1575598
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 137
EP  - 144
VL  - 21
IS  - 3
LA  - en
AB  - 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.
KW  - Kolmogorov–Petrovskii–Piskunov equation
KW  - the modified sub equation method
KW  - traveling wave solutions
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UR  - https://doi.org/10.18466/cbayarfbe.1575598
L1  - https://dergipark.org.tr/tr/download/article-file/4323609
ER  -