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.
1
College of Mathematics, Jilin University, Changchun, P.R.China
Xuefeng Zhao; Yong Li. σ-Symmetries and First Integral of Differential Equations. Journal of Lie Theory, Tome 34 (2024) no. 1, pp. 93-112. http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a4/
@article{JOLT_2024_34_1_a4,
author = {Xuefeng Zhao and Yong Li},
title = {\ensuremath{\sigma}-Symmetries and {First} {Integral} of {Differential} {Equations}},
journal = {Journal of Lie Theory},
pages = {93--112},
year = {2024},
volume = {34},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a4/}
}
TY - JOUR
AU - Xuefeng Zhao
AU - Yong Li
TI - σ-Symmetries and First Integral of Differential Equations
JO - Journal of Lie Theory
PY - 2024
SP - 93
EP - 112
VL - 34
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a4/
ID - JOLT_2024_34_1_a4
ER -
%0 Journal Article
%A Xuefeng Zhao
%A Yong Li
%T σ-Symmetries and First Integral of Differential Equations
%J Journal of Lie Theory
%D 2024
%P 93-112
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a4/
%F JOLT_2024_34_1_a4
