On structure-preserving point transformations of differential equations

DOI10.1016/J.PHYSLETA.2009.01.066zbMath1228.34054OpenAlexW2001613680MaRDI QIDQ653517

Jean-Claude Ndogmo

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.01.066

zbMATH Keywords

linear equationsequivalence transformationsfundamental invariantsdetermination methodssymmetry generator

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Linear ordinary differential equations and systems (34A30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (2)

Some results on equivalence groups ⋮ Coefficient characterization of linear differential equations with maximal symmetries

Cites Work

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• Generating differential invariants
• Equivalence classes, symmetries and solutions of linear third-order differential equations
• Invariants of a remarkable family of nonlinear equations
• Invariants of linear parabolic differential equations
• Generalization of the Equivalence Transformations
• Basis of Joint Invariants for (1 + 1) Linear Hyperbolic Equations
• Invariants of differential equations defined by vector fields
• A method for the equivalence group and its infinitesimal generators

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