On geometry of solutions to approximate equations and their symmetries

DOI10.13108/2017-9-2-40zbMath1463.53042OpenAlexW2736786272MaRDI QIDQ5136695

V. V. Gorbatsevich

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa374

zbMATH Keywords

dual numbersapproximate equationdual Lie algebraapproximate Lie algebramanifold over dual numbers

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Symmetries, invariants of ordinary differential equations (34C14) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometries with algebraic manifold structure (51H30)

Related Items (3)

Foundations of Lie theory for -structures and some of its applications ⋮ Some properties of homogeneous \(\mathcal{E}\)-manifolds ⋮ Dual and almost-dual homogeneous spaces

Cites Work

• Comparison of approximate symmetry methods for differential equations
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