A description is given of a software package to compute symmetries of partial differential equations, using computer algebra. As an application, the computation of higher-order symmetries of the classical Boussinesq equation is given leading to the recursion operator for symmetries in a straightforward way. Nonlocal symmetries for the Federbush model are obtained yielding the linearization of the model.
- Recursion operators
- Computer algebra
Kersten, P. H. M. (1989). Software to compute infinitesimal symmetries of exterior differenial systems, with applications. Acta applicandae mathematicae, 16(2), 207-229. https://doi.org/10.1007/BF00046573