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Classification of three-dimensional Lie algebras in \(\mathbb{R}^3\) and their second-order differential invariants

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Publication:694341
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DOI10.1134/S199508021002006XzbMath1267.17023MaRDI QIDQ694341

S. V. Khabirov

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Lie algebrasecond-order differential invariant


Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Symmetries, invariants of ordinary differential equations (34C14)


Related Items (3)

Lie symmetry analysis of Kudryashov-Sinelshchikov equation ⋮ Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras ⋮ Integration of ordinary differential equation with a small parameter via approximate symmetries: reduction of approximate symmetry algebra to a canonical form







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