Differential equations uniquely determined by algebras of point symmetries

DOI10.1007/s11232-007-0069-1zbMath1153.35007OpenAlexW2167277240WikidataQ57555717 ScholiaQ57555717MaRDI QIDQ926757

Francesco Olivieri, Gianni Manno, Raffaele Vitolo

Publication date: 20 May 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-007-0069-1

zbMATH Keywords

jetsLie symmetries of differential equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

Bogus transformations in mechanics of continua ⋮ Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation ⋮ Lie algebra symmetry analysis of the Helfrich and Willmore surface shape equations ⋮ Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives ⋮ Lie remarkable partial differential equations characterized by Lie algebras of point symmetries ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ Ordinary differential equations described by their Lie symmetry algebra ⋮ Complete symmetry group and nonlocal symmetries for some two-dimensional evolution equations ⋮ On the systematic approach to the classification of differential equations by group theoretical methods

Cites Work

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• On differential equations characterized by their Lie point symmetries
• Similarity methods for differential equations
• ON AN INVERSE PROBLEM IN GROUP ANALYSIS OF PDE'S: LIE–REMARKABLE EQUATIONS

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