Integration of Systems of First-Order Equations Admitting Nonlinear Superposition

DOI10.1142/S1402925109000364zbMath1362.34024OpenAlexW2034965780MaRDI QIDQ5737648

Nail H. Ibragimov

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925109000364

zbMATH Keywords

canonical variablesnonlinear superpositionsstandard forms of Lie algebrasVessiot-Guldberg-Lie algebras

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34)

Related Items (5)

Multisymplectic structures and invariant tensors for Lie systems ⋮ Reduction and reconstruction of multisymplectic Lie systems ⋮ A functional realization of 𝔰𝔩(3, ℝ) providing minimal Vessiot–Guldberg–Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras ⋮ Nonlinear superposition formulas for two classes of non-holonomic systems ⋮ Integrability of Lie Systems through Riccati Equations

Cites Work

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