Efficiently implementing two methods of the geometrical theory of differential equations: An experience in algorithm and software design

DOI10.1007/BF00046570zbMath0693.65087OpenAlexW4243426009MaRDI QIDQ908675

M. L. Bronstein, Alexei V. Bocharov

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046570

zbMATH Keywords

symmetryefficiencyconservation lawcomputer algebraportabilitygeometrical theoryPASCALpersonal computer

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Applications to the sciences (65Z05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

The computer calculation of Lie point symmetries of large systems of differential equations ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Reduction of systems of nonlinear partial differential equations to simplified involutive forms ⋮ Symbolic computation and differential equations: Lie symmetries ⋮ Isogroups of differential equations using algebraic computing

Uses Software

• REDUCE

Cites Work

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• Symmetries and conservation laws of partial differential equations: Basic notions and results
• Local symmetries and conservation laws
• Symbolic computations in applied differential geometry
• A REDUCE program for determining point and contact Lie symmetries of differential equations
• Computer algebra application for classification of integrable non-linear evolution equations