Structure of Lie point and variational symmetry algebras for a class of odes

DOI10.1016/j.cnsns.2017.09.010OpenAlexW2754726692MaRDI QIDQ2205761

Jean-Claude Ndogmo

Publication date: 21 October 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.2017.09.010

zbMATH Keywords

algebraic structuresystems of ordinary differential equationsLie symmetry algebrasmaximal dimensions

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Linear ordinary differential equations and systems (34A30) Group actions and symmetry properties (58D19)

Cites Work

• Reduction of integrable planar polynomial differential systems
• Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
• Exceptional properties of second and third order ordinary differential equations of maximal symmetry
• Moving frames
• Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems
• Maurer-Cartan forms and the structure of Lie pseudo-groups
• The equivalence problem for the Euler–Bernoulli beam equation via Cartan's method
• Invariants of a family of third-order ordinary differential equations
• Symmetries of linear systems of second-order ordinary differential equations
• Generalizations of Noether’s Theorem in Classical Mechanics
• The Equivalence Problem for Systems of Second-Order Ordinary Differential Equations
• Characterization of canonical classes for systems of linear ODEs
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item