Open AccessPolynomial characteristic method an easy approach to lie symmetry
Author(s) -
Yi Tian,
KangLe Wang
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2004629t
Subject(s) - symmetry (geometry) , polynomial , set (abstract data type) , mathematics , class (philosophy) , series (stratigraphy) , differential equation , pure mathematics , computer science , mathematical analysis , geometry , artificial intelligence , paleontology , biology , programming language
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.