THERMAL SCIENCE

International Scientific Journal

Yi TianORCID

,

Kang-Le WangORCID

POLYNOMIAL CHARACTERISTIC METHOD AN EASY APPROACH TO LIE SYMMETRY

ABSTRACT
Along the approach to Lie symmetry, it is always needed to solve an over-determined system, which is difficult and complex if not impossible. Here we suggest a new polynomial characteristic method combined with Lie algorithm to complete symmetry classification for a class of perturbed equations. A differential polynomial characteristic set algorithm is proposed to decompose the determining equations into a series of equations easy to be solved.
KEYWORDS
Lie algorithm, differential polynomial characteristic set algorithm, symmetry classification
PAPER SUBMITTED: 2019-03-02
PAPER REVISED: 2019-10-27
PAPER ACCEPTED: 2019-10-28
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004629T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE No. 4, PAGES [2629 - 2635]
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Polynomial characteristic method an easy approach to lie symmetry

© 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