Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra

Autor:	Al-Dweik, Ahmad Y., Mustafa, M. T., Mahomed, F. M.
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
DOI:	10.1002/mma.4923
Popis:	The Cartan equivalence method is utilized to deduce an invariant characterization of the scalar third-order ordinary differential equation $u'"=f(x,u,u',u")$ which admits the maximal seven-dimensional point symmetry Lie algebra. The method provides auxiliary functions which can be used to efficiently obtain the point transformation that does the reduction to the simplest linear equation $\bar{u}'"=0$. Moreover, examples are given to illustrate the method.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.02387 Zobrazit plný text záznamu View this record from Arxiv