Cardoso-Bihlо E. (Memorial University of Newfoundland, Canada)

Differential invariants for symmetry groups and equivalence group

Abstract: We use the moving frame methodology to find the algebra of differential invariants for equivalence groups and symmetry groups of (classes of) differential equations. We illustrate this method for a class of (1+1)-dimensional second-order evolution equations and the Korteweg-de Vries equation. We also compute the minimal bases of differential invariants and the complete set of independent operators of invariant differentiation.