Journal of Lie Theory

no. 1
σ-Symmetries and First Integral of Differential Equations
Xuefeng Zhao1; Yong Li1
1College of Mathematics, Jilin University, Changchun, P.R.China
Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 93-112
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.
DOI: 10.5802/jolt.1328
Classification: 34A26, 34A34, 34C40
Keywords: First integral, Frobenius integrable, sigma-symmetries

Xuefeng Zhao  1 ; Yong Li  1

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, Volume 34 (2024) no. 1, pp. 93-112. doi: 10.5802/jolt.1328
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