Volume 3, Issue 1-2, May 1996, Pages 186 - 195
Second-Order Differential Invariants for Some Extensions of the Poincaré Group and Invariant Equations
Available Online 1 May 1996.
- https://doi.org/10.2991/jnmp.1996.3.1-2.23How to use a DOI?
- 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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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 -