Applications of the package CRACK to simplify large systems
Thomas Wolf
Brock University
In the three applications
- the computation of quadratic Poisson Structures,
- the construction of Gardner's deformation for the Bosonic Limit
of the N=2 supersymmetric Burgers equation, and
- the computation of a Killing tensor for the Kimura metric
an overdetermined algebraic or differential system has been formulated,
simplified and fully or partially solved. After a short introduction of the
problems and their specific challenges, modules of the computer algebra
package CRACK are introduced that were used in the computations. In some
cases CRACK was used to pre-simplify the problem before it was solvable by
other packages, like Singular.