Geodesic
σ-Symmetries and First Integral of Differential Equations
Journal of Lie theory, Tome 34 (2024) no. 1, pp. 93-112
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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.
Classification : 34A26, 34A34, 34C40
Mots-clés : First integral, Frobenius integrable, sigma-symmetries 
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     author = {X. Zhao and Y. 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/JLT_2024_34_1_JLT_2024_34_1_a4/}
}
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X. Zhao; Y. 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/JLT_2024_34_1_JLT_2024_34_1_a4/