Polynomial characteristic method an easy approach to lie symmetry | Zendy

Yi Tian | Zendy; KANG-LE WANG | Zendy

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Polynomial characteristic method an easy approach to lie symmetry

Author(s) -

Yi Tian,

KANG-LE WANG

Publication year - 2020

Publication title -

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.

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