THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Sheng Zhang

,

Jiahong Li

,

Luyao Zhang

A DIRECT ALGORITHM OF EXP-FUNCTION METHOD FOR NON-LINEAR EVOLUTION EQUATIONS IN FLUIDS

ABSTRACT
In this paper, a direct algorithm of the exp-function method is proposed for exactly solving non-linear evolution equations. To illustrate the validity and advantages of the algorithm, the Korteweg-de Vries and Jimbo-Miwa equations are considered. As a result, exact solutions are obtained. It is shown that the exp-function method with the direct algorithm provides a simpler but effective mathematical tool for constructing exact solutions of non-linear evolution equations in fluids.
KEYWORDS
exp-function method, exact solution, Korteweg-de Vries equation, Jimbo-Miwa equation
PAPER SUBMITTED: 2015-11-30
PAPER REVISED: 2015-12-18
PAPER ACCEPTED: 2015-12-19
PUBLISHED ONLINE: 2016-08-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1603881Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [881 - 884]
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A direct algorithm of exp-function method for non-linear evolution equations in fluids

© 2024 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