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GeM software package for computation of symmetries and conservation laws of differential equations. (English) Zbl 1196.34045

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.

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
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References:

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