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PAINLEVE ANALYSIS FOR A FORCED KORTEVEG-DE VRIES EQUATION ARISEN IN FLUID DYNAMICS OF INTERNAL SOLITARY WAVES

ABSTRACT
In this paper, Painleve analysis is used to test the Painleve integrability of a forced variable-coefficient extended Korteveg-de Vries equation which can describe the weakly-non-linear long internal solitary waves in the fluid with continuous stratification on density. The obtained results show that the equation is integrable under certain conditions. By virtue of the truncated Painleve expansion, a pair of new exact solutions to the equation is obtained.
KEYWORDS
PAPER SUBMITTED: 2015-01-10
PAPER REVISED: 2015-03-05
PAPER ACCEPTED: 2015-04-20
PUBLISHED ONLINE: 2015-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI1504223Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE 4, PAGES [1223 - 1223]
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© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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