Journal of Lie Theory

no. 1
σ-Symmetries and First Integral of Differential Equations
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 
@article{JOLT_2024_34_1_a4,
     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},
     doi = {10.5802/jolt.1328},
     zbl = {1540.34077},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1328/}
}
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X. Zhao; Y. 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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