Coefficient characterization of linear differential equations with maximal symmetries

DOI10.1016/j.cnsns.2013.09.020zbMath1443.34016OpenAlexW2083897698MaRDI QIDQ2299778

Jean-Claude Ndogmo

Publication date: 24 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.09.020

zbMATH Keywords

infinitesimal generatorscanonical formcoefficient characterizationmaximal symmetry algebrainduced equivalence group

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of Ermakov-Pinney Lie algebra ⋮ First integrals and Hamiltonians of some classes of ODEs of maximal symmetry

Uses Software

• mctoolbox

Cites Work

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• Contact-equivalence problem for linear hyperbolic equations
• Moving coframes. II: Regularization and theoretical foundations
• Symmetry analysis of differential equations with MATHEMATICA
• Geometric proof of Lie's linearization theorem
• Symmetry Lie algebras of \(n\)th order ordinary differential equations
• On generating relative and absolute invariants of linear differential equations
• Accuracy and Stability of Numerical Algorithms
• A method for the equivalence group and its infinitesimal generators

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