A class of Galilean invariant systems of ordinary differential equations of the second order

Authors

DOI:

https://doi.org/10.31652/3041-1955/2024-01-02-02

Keywords:

Lie algebra, Galilean algebra, invariant systems, differential equations

Abstract

The article is devoted to the construction of a class of Galilean invariant systems of ordinary differential equations of the second order. For this, a symmetric analysis of the Newton-Lorentz equation was used, and based on the invariance of this equation, a class of systems of differential equations was constructed, a partial case of which is the Newton-Lorentz equation, which is invariant with respect to the Galilean algebra.

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Author Biographies

  • Oleksandr Tymoshenko, Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University

    Oleksandr Tymoshenko, Candidate of Science in Physіcs and Mathematics, Associate Professor, Department of Mathematics and Informatics, Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, 32 Ostrozkyi Str., Vinnytsia 21001, Ukraine

  • Ivanna Leonova, Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University

    Ivanna Leonova, Assistant, Department of Mathematics and Informatics, Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, 32 Ostrozkyi Str., Vinnytsia 21001, Ukraine

References

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Published

2024-10-17

Issue

Vol. 1 No. 2 (2024)

Section

Actual problems of mathematics

License

Copyright (c) 2024 Олександр Тимошенко, Іванна Леонова

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

A class of Galilean invariant systems of ordinary differential equations of the second order. (2024). Mathematics, Informatics, Physics: Science and Education, 1(2), 111-119. https://doi.org/10.31652/3041-1955/2024-01-02-02