Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 34 (2024), No. 1, 093--112
Copyright Heldermann Verlag 2024



σ-Symmetries and First Integral of Differential Equations

Xuefeng Zhao
College of Mathematics, Jilin University, Changchun, P.R.China
zhaoxf20@mails.jlu.edu.cn

Yong Li
College of Mathematics, Jilin University, Changchun, P.R.China
liyong@jlu.edu.cn



We provide some geometric properties for σ-symmetries of system of ordinary differential equations. According to the corresponding geometric representation of σ-symmetries and solvable structure, we give the first integrals for the system of first-order ordinary differential equations and for the system of n-order ordinary differential equations which has not enough symmetries and λ-symmetries.

Keywords: First integral, Frobenius integrable, sigma-symmetries.

MSC: 34A26, 34A34, 34C40.

[ Fulltext-pdf  (176  KB)] for subscribers only.