Thermal Science

International Scientific Journal

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Yi Tian

APPLICATION OF THE KUDRYASOV METHOD WITH CHARACTERISTIC SET ALGORITHM TO SOLVE SOME PARTIAL DIFFERENTIAL EQUATIONS IN FLUID MECHANICS

ABSTRACT

In this paper, we pay attention the analytical method named, the Kudryashov method combined with characteristic set algorithm for finding the exact travelling solutions of two non-linear PDE in fluid mechanics, which named surface wave equation and the generalized Kuramoto-Sivashinsky equation. The solution procedure of the Kudryashov method can be reduced to solve a large system of algebraic equations, which is hard to solve, then we use characteristic set algorithm to solve this problem. The obtained results show that the Kudryashov method combined with characteristic set algorithm is effective.

KEYWORDS

Kudryashov method, characteristic set algorithm, surface wave equation, generalized Kuramoto-Sivashinsky equation

PAPER SUBMITTED: 2018-05-15

PAPER REVISED: 2018-07-28

PAPER ACCEPTED: 2018-08-27

PUBLISHED ONLINE: 2019-04-14

DOI REFERENCE: https://doi.org/10.2298/TSCI180515134T

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE No. 3, PAGES [1363 - 1370]

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Application of the Kudryasov method with characteristic set algorithm to solve some partial differential equations in fluid mechanics

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence