Applications of Solvable Structures to the Nonlocal Symmetry-Reduction of Odes

DOI10.1142/S1402925109000303zbMath1362.34053MaRDI QIDQ5737642

Paola Morando, Diego Catalano Ferraioli

Publication date: 30 May 2017

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

zbMATH Keywords

coveringordinary differential equationsreductionnonlocal symmetriessolvable structures

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (8)

Symmetry of stochastic non-variational differential equations ⋮ Generalized Solvable Structures Associated to Symmetry Algebras Isomorphic to $$\mathfrak {gl}(2,\mathbb {R}) \ltimes \mathbb {R}$$ ⋮ On the integrability of GL(2,ℝ)‐invariant fourth‐order ordinary differential equations ⋮ Symmetries of Hamiltonian Equations and Λ-Constants of Motion ⋮ Integration of some examples of geodesic flows via solvable structures ⋮ Reduction by λ –symmetries and σ –symmetries: a Frobenius approach ⋮ \( \mathscr{C}^\infty \)-symmetries of distributions and integrability ⋮ First integrals and parametric solutions of third-order ODEs admitting $ {\mathfrak{sl}(2, \mathbb{R})} $

Cites Work

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• Variational \(C^{\infty}\)-symmetries and Euler--Lagrange equations
• Integrability by quadratures for systems of involutive vector fields
• Symmetry and integration methods for differential equations
• Symmetries and differential equations

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