SymmetryTest(S, PDESYS, DepVars)

Consider the wave equation in four dimensions to avoid redundant typing on input and on the display use diff_table and declare

Compute the infinitesimals of point symmetry transformations leaving invariant pde[1] and test for correctness the first list

Test all the lists in one step

SymmetryTest can also test dynamical symmetries, that is, symmetries where the infinitesimals depend on derivatives of the unknown functions of the problem. Consider for instance the sine-Gordon equation

The following list of infinitesimals represent a symmetry of SGE

declare, DeterminingPDE, diff_table, Infinitesimals, PDEtools, SymmetryTransformation