Second-Order Differential Invariants for Some Extensions of the Poincaré Group and Invariant Equations

DOI

10.2991/jnmp.1996.3.1-2.23How to use a DOI?

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 multi­dimensional invariant equations and to simplify the problem of symmetry classification of second-order scalar partial differential equations.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Irina Yehorchenko
PY  - 1996
DA  - 1996/05/01
TI  - Second-Order Differential Invariants for Some Extensions of the Poincaré Group and Invariant Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 186
EP  - 195
VL  - 3
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.1-2.23
DO  - 10.2991/jnmp.1996.3.1-2.23
ID  - Yehorchenko1996
ER  -