Lie symmetries of differential equations:direct and inverse problems

DOI10.1285/i15900932v23n2p195zbMath1122.35008OpenAlexW1488101058MaRDI QIDQ5699137

Francesco Olivieri

Publication date: 26 April 2006

Full work available at URL: http://siba-ese.unile.it/index.php/notemat/article/download/734/578

zbMATH Keywords

Lie point symmetriesLie remarkable equationsAutonomous differential equationsCompletely exceptional equationsLinearizable differential equations

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (5)

On differential equations characterized by their Lie point symmetries ⋮ Pseudo-linear superposition principle for the Monge-Ampère equation based on generated pseudo-operations ⋮ Lie remarkable partial differential equations characterized by Lie algebras of point symmetries ⋮ Ordinary differential equations described by their Lie symmetry algebra ⋮ On the systematic approach to the classification of differential equations by group theoretical methods

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