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

Autor:	Al-Dweik, Ahmad Y., Mahomed, F. M., Mustafa, M. T.
Rok vydání:	2019
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
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 ten-dimensional contact symmetry Lie algebra. The method provides auxiliary functions which can be used to efficiently determine the contact transformation that does the reduction to the simplest linear equation $\bar{u}'''=0$. Furthermore, ample examples are given to illustrate our method. Comment: arXiv admin note: text overlap with arXiv:1712.02387
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.05449 Zobrazit plný text záznamu View this record from Arxiv