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Review of symbolic software for the computation of Lie symmetries of differential equations. (English) Zbl 0891.65081
Summary: A survey of symbolic programs for the determination of Lie symmetry groups of systems of differential equations is presented. The purpose, methods and algorithms of symmetry analysis are briefly outlined. Examples illustrate the use of the software. Directions for further research and development are indicated.
MSC:
65L05Initial value problems for ODE (numerical methods)
68W30Symbolic computation and algebraic computation
37C80Symmetries, equivariant dynamical systems
34C20Transformation and reduction of ODE and systems, normal forms
34A34Nonlinear ODE and systems, general
65Y15Packaged methods in numerical analysis