Analytical solutions of Kolmogorov–Petrovskii–Piskunov equation

Yıl 2020, Cilt: 22 Sayı: 2, 628 - 636, 10.04.2020

Hülya Durur Asıf Yokuş

https://doi.org/10.25092/baunfbed.743062

Cited By: 17

Öz

In the current study, analytical solutions are constructed by applying (1/G') -expansion method to the Kolmogorov–Petrovskii–Piskunov (KPP) equation. Hyperbolic type exact solutions of the KPP equation are presented with the successfully applied method. 3D, 2D and contour graphics are presented by giving special values to the parameters in the solutions obtained. This article explores the applicability and effectiveness of this method on nonlinear evolution equations (NLEEs).

Anahtar Kelimeler

Kolmogorov–Petrovskii–Piskunov equation, traveling wave solutions, exact solution, (1/G')- expansion method

Kolmogorov – Petrovskii – Piskunov denkleminin analitik çözümleri

Öz

Bu çalışmada, Kolmogorov – Petrovskii –Piskunov (KPP) denkleminin analitik çözümleri (1/G')-açılım yöntemi uygulanarak elde edilmiştir. Başarılı bir şekilde uygulanan yöntem ile KPP denkleminin hiperbolik tipte tam çözümleri sunulmuştur. Elde edilen çözümlerdeki parametrelere özel değerler verilerek 3 boyutlu, 2 boyutlu ve kontur grafikleri sunulmuştur. Bu makalede, bu yöntemin doğrusal olmayan evrim denklemleri (NLEE'ler) üzerindeki uygulanabilirliği ve etkinliği araştırılmaktadır.

Anahtar Kelimeler

Kolmogorov–Petrovskii–Piskunov denklemi, yürüyen dalga çözümleri, tam çözüm, (1/G')-açılım metodu

Kaynakça

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