  Methods for the computation of invariants and symmetries of nonlinear
evolution, wave, and lattice equations are presented. The algorithms are based
on dimensional analysis, and can be implemented in any symbolic language, such
as Mathematica. Invariants and symmetries are shown for several well-known
equations.
  Our Mathematica package allows one to automatically compute invariants and
symmetries. Applied to systems with parameters, the package determines the
conditions on these parameters so that a sequence of invariants or symmetries
exists. The software can thus be used to test the integrability of model
equations for wave phenomena.
