title: |
Second-Order Differential Invariants for Some Extensions of the Poincaré Group and Invariant Equations |
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publication: |
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| volume-issue: | 3 - 1-2 | |
| pages: | 186 - 195 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.1996.3.1-2.23 (how to use a DOI) | |
author(s): |
Irina YEHORCHENKO |
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publication date: |
May 1996 |
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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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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |