Journal of Nonlinear Mathematical Physics

Volume 3, Issue 1-2, May 1996, Pages 186 - 195

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

Authors
Irina YEHORCHENKO
Corresponding Author
Irina YEHORCHENKO
Available Online 1 May 1996.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
3 - 1
Pages
186 - 195
Publication Date
1996/05
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1996.3.1-2.23How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Irina YEHORCHENKO
PY  - 1996
DA  - 1996/05
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  - https://doi.org/10.2991/jnmp.1996.3.1-2.23
ID  - YEHORCHENKO1996
ER  -