Cheviakov, Alexei F. GeM software package for computation of symmetries and conservation laws of differential equations. (English) Zbl 1196.34045 Comput. Phys. Commun. 176, No. 1, 48-61 (2007). Summary: We present a recently developed Maple-based “GeM” software package for automated symmetry and conservation law analysis of systems of partial and ordinary differential equations (DE). The package contains a collection of powerful easy-to-use routines for mathematicians and applied researchers. A standard program that employs “GeM” routines for symmetry, adjoint symmetry or conservation law analysis of any given DE system occupies several lines of Maple code, and produces output in the canonical form. Classification of symmetries and conservation laws with respect to constitutive functions and parameters present in the given DE system is implemented. The “GeM” package is being successfully used in ongoing research. Run examples include classical and new results. Cited in 2 ReviewsCited in 97 Documents MSC: 34C14 Symmetries, invariants of ordinary differential equations 34-04 Software, source code, etc. for problems pertaining to ordinary differential equations 35-04 Software, source code, etc. for problems pertaining to partial differential equations 35A30 Geometric theory, characteristics, transformations in context of PDEs 35L65 Hyperbolic conservation laws 65Y15 Packaged methods for numerical algorithms Keywords:symbolic computation; symmetries; Lie symmetry; Lie-Bäcklund symmetry; higher symmetry; approximate symmetry; adjoint symmetry; conservation laws; differential equations; PDE; classification; GeM; Maple Software:GeM; ApplySym; SYMMGRP; Maple; ConLaw PDFBibTeX XMLCite \textit{A. F. Cheviakov}, Comput. Phys. Commun. 176, No. 1, 48--61 (2007; Zbl 1196.34045) Full Text: DOI References: [1] Olver, P. J., Applications of Lie Groups to Differential Equations (1986), Springer: Springer New York · Zbl 0656.58039 [2] Bluman, G. 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