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

  • Oksana Kuriksha
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (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.

Keywords

Computer Algebra System Equivalence Transformation Symmetry Algebra Point Transformation Symmetry Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

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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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Petro Mohyla Black Sea State UniversityMykolaivUkraine

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