Geodesic
An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 61-77

Voir la notice de l'article provenant de la source Math-Net.Ru

The present study is devoted to study of a natural 12-dimensional symmetry algebra of the three-dimensional hyperbolic differential equations of the perfect plasticity, obtained by D. D. Ivlev in 1959 and formulated in isostatic co-ordinate net. An optimal system of one-dimensional subalgebras constructing algorithm for the Lie algebra is proposed. The optimal system (total 187 elements) is shown consist of a 3-parametrical element, twelve 2-parametrical elements, sixty six 1-parametrical elements and one hundred and eight individual elements. 
@article{ISU_2011_11_2_a9,
     author = {V. A. Kovalev and Yu. N. Radayev},
     title = {An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {61--77},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a9/}
}
TY  - JOUR
AU  - V. A. Kovalev
AU  - Yu. N. Radayev
TI  - An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2011
SP  - 61
EP  - 77
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a9/
LA  - ru
ID  - ISU_2011_11_2_a9
ER  - 
%0 Journal Article
%A V. A. Kovalev
%A Yu. N. Radayev
%T An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2011
%P 61-77
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a9/
%G ru
%F ISU_2011_11_2_a9
V. A. Kovalev; Yu. N. Radayev. An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of the perfect plasticity. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 61-77. http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a9/