Integration of ordinary differential equation with a small parameter via approximate symmetries: reduction of approximate symmetry algebra to a canonical form

DOI10.1134/S1995080210020058zbMath1266.34057OpenAlexW2020361688WikidataQ115247399 ScholiaQ115247399MaRDI QIDQ694340

V. O. Lukashchuk, Rafail Kav'evich Gazizov, Nail H. Ibragimov

Publication date: 12 December 2012

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

Full work available at URL: https://doi.org/10.1134/s1995080210020058

zbMATH Keywords

integration of ordinary differential equationsLie symmetry algebrasordinary differential equations with a small parameter

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (4)

Approximate Q-conditional symmetries of partial differential equations ⋮ A consistent approach to approximate Lie symmetries of differential equations ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras

Cites Work

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

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