Superposition rules for higher order systems and their applications
From MaRDI portal
Publication:2890745
DOI10.1088/1751-8113/45/18/185202zbMath1248.34008arXiv1111.4070OpenAlexW2062258703MaRDI QIDQ2890745
Janusz Grabowski, José F. Cariñena, Javier de Lucas
Publication date: 12 June 2012
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.4070
superposition rulessecond- and third-order Kummer-Schwarz equationsystems of higher order differential equations
Related Items (18)
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 ⋮ Contact Lie systems: theory and applications ⋮ Lie–Hamilton systems on curved spaces: a geometrical approach ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds ⋮ On certain properties of linear iterative equations ⋮ Nonlinear superposition formulas for two classes of non-holonomic systems ⋮ Lie symmetries for Lie systems: applications to systems of ODEs and PDEs ⋮ On Lie systems and Kummer-Schwarz equations ⋮ Dirac-Lie systems and Schwarzian equations ⋮ \(k\)-symplectic Lie systems: theory and applications ⋮ Lie-Hamilton systems on the plane: properties, classification and applications ⋮ Quasi-Lie schemes for PDEs ⋮ LIE–HAMILTON SYSTEMS: THEORY AND APPLICATIONS ⋮ Quasi-Lie families, schemes, invariants and their applications to Abel equations ⋮ Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra
This page was built for publication: Superposition rules for higher order systems and their applications