On third order ordinary differential equations with maximal symmetry group

DOI10.1007/BF02247410zbMath0858.34007MaRDI QIDQ1924323

Fritz Schwarz

Publication date: 31 March 1997

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Janet basescomputation of closed form solutionsseven-parameter symmetry groupthird-order quasilinear ordinary differential equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

Third-order ordinary differential equationsy′′′ =f(x, y, y′, y″)with maximal symmetry group

Cites Work

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• The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
• Linearization of second order ordinary differential equations via Cartan's equivalence method
• An algorithm for determining the size of symmetry groups
• Symmetry Lie algebras of \(n\)th order ordinary differential equations

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