The determination of nonlocal symmetries by the technique of reduction of order

DOI10.1006/jmaa.2000.7141zbMath0977.34029OpenAlexW2034158027MaRDI QIDQ1593777

Maria Clara Nucci, Peter G. L. Leach

Publication date: 7 January 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7141

zbMATH Keywords

reduction of ordernonlocal symmetries

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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Uses Software

• REDUCE
• DIMSYM
• LIE

Cites Work

• Self-similar solutions of the generalized Emden-Fowler equation
• DIMSYM and LIE: Symmetry determination packages
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• On the complete symmetry group of the classical Kepler system
• On the determination of non-local symmetries
• USE OF LIE SYMMETRIES AND THE PAINLEVÉ ANALYSIS IN COSMOLOGY
• The complete Kepler group can be derived by Lie group analysis
• LIE, a PC program for Lie analysis of differential equations
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