Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations

DOI10.1016/S0747-7171(89)80043-4zbMath0691.35004OpenAlexW2130627526WikidataQ115338681 ScholiaQ115338681MaRDI QIDQ582438

W. I. Fushchich, Vladimir V. Kornyak

Publication date: 1989

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(89)80043-4

zbMATH Keywords

Lie and Lie-Bäcklund symmetries

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

The computer calculation of Lie point symmetries of large systems of differential equations ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Continuous point symmetries in group field theories ⋮ Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations ⋮ Formal solutions of differential equations

Uses Software

• REDUCE
• FORMAC
• LIE
• LIE0
• SPDE

Cites Work

• Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations
• Automatically determining symmetries of partial differential equations
• A REDUCE program for determining point and contact Lie symmetries of differential equations
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