Systems of second-order differential equations invariant with respect to low-dimensional Lie algebras

Authors

  • O. Gaponova
  • M. Nesterenko

Abstract

Regular systems of two second-order ordinary differential equations invariant with respect to real three- or four-dimensional Lie algebras are exhaustively described.

Симетрія і інтегровність рівнянь математичної фізики

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Published

2006-11-14 — Updated on 2006-11-14

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How to Cite

Gaponova, O., & Nesterenko, M. (2006). Systems of second-order differential equations invariant with respect to low-dimensional Lie algebras. Transactions of Institute of Mathematics, the NAS of Ukraine, 3(2), 71–91. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/383

Issue

Vol. 3 No. 2 (2006): Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych)

Section

Research papers

License

Copyright (c) 2006 О. ГАПОНОВА, М. НЕСТЕРЕКО

Creative Commons License

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