APPLICATION OF THE GENERALIZED KUDRYASHOV METHOD TO THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Year 2024, Volume: 25 Issue: 2, 320 - 330, 28.06.2024

Zeynep Aydın , Filiz Taşcan

https://doi.org/10.18038/estubtda.1470826

Abstract

In this paper, we investigate the general solutions to the Kolmogorov-Petrovskii-Piskunov equation using the generalized Kudryasov method. It was demonstrated that all produced answers are supplied by exponential function solutions using the symbolic computer program Maple. These solutions are helpful for fluid dynamics, optics, and other fields. Lastly, we have presented some graphs for exact solutions of these equations with special parameter values. For the development of this method, the versatility and dependability of programming offer eclectic applicability to high-dimensional nonlinear evolution equations. The obtained results provided us with valuable insights on the suitability of the novel Kudryashov technique.

Keywords

Exact solution, Generalized Kudryashov method, Differential equations

Ethical Statement

We declare that this article is original, has not been published before and is not currently being considered for publication elsewhere. We confirm that the article has been read and approved by all named authors and that there are no others who meet the authorship criteria but are not listed. Zeynep Aydın [e-mail]. Filiz Taşcan [e-mail].

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