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Lie Theory and Its Applications in Physics pp 331–340Cite as

Systems of First-Order Ordinary Differential Equations Invariant with Respect to Linear Realizations of Two- and Three-Dimensional Lie Algebras

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 111))

Abstract

The complete group classification of systems of two first-order ordinary differential equations with respect to point transformations linear in dependent variables is carried out.

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References

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Acknowledgements

The author thanks the Organizing Committee of the 10-th International Workshop “Lie Theory and Its Applications in Physics” (LT-10) for hospitality and support.

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Authors and Affiliations

  1. Petro Mohyla Black Sea State University, 10, 68 Desantnykiv Street, 54003, Mykolaiv, Ukraine

    Oksana Kuriksha

Authors
  1. Oksana Kuriksha
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Correspondence to Oksana Kuriksha .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

    Vladimir Dobrev

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Kuriksha, O. (2014). Systems of First-Order Ordinary Differential Equations Invariant with Respect to Linear Realizations of Two- and Three-Dimensional Lie Algebras. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_24

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