- Published 2002

Abstract It is well-known that symmetry properties are extremely important for choosing differential equations which can be suitable for description of real physical processes. We present functional bases of second-order differential invariants for various representations of some extensions of the Poincaré group and for a set of m scalar functions (e.g., for similarity and conformal groups). These results enable us to describe new classes of nonlinear multi–dimensional invariant equations and to simplify the problem of symmetry classification of second-order scalar partial differential equations.

@inproceedings{YEHORCHENKO2002SecondOrderDI,
title={Second-Order Differential Invariants for Some Extensions of the Poincaré Group and Invariant Equations},
author={Irina YEHORCHENKO},
year={2002}
}