DIMSYM and LIE: Symmetry determination packages
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Publication:1368553
DOI10.1016/S0895-7177(97)00066-6zbMath0918.34007OpenAlexW2072590044MaRDI QIDQ1368553
J. Sherring, A. K. Head, Geoff Prince
Publication date: 2 August 1999
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00066-6
Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Lie groups (22E99) Representations of solutions to partial differential equations (35C99)
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Uses Software
Cites Work
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- Automatically determining symmetries of partial differential equations
- Software to compute infinitesimal symmetries of exterior differential systems, with applications
- The Riquier-Janet theory and its application to nonlinear evolution equations
- DIMSYM and LIE: Symmetry determination packages
- Symmetries of Einstein’s field equations with a perfect fluid source as examples of Lie–Bäcklund symmetries
- Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
- Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution
- Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
- A triangularization algorithm which determines the Lie symmetry algebra of any system of PDEs
- LIE, a PC program for Lie analysis of differential equations
