- Tytuł:
- Some differential equations of elasticity and their lie point symmetry generators
- Autorzy:
-
Bocko, J.
Glodová, I.
Lengvarský, P. - Powiązania:
- https://bibliotekanauki.pl/articles/387419.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
symmetry
differential equations
elasticity
group generator
Lie group
symetria
równania różniczkowe
elastyczność
grupa Liego - Opis:
- The formal models of physical systems are typically written in terms of differential equations. A transformation of the variables in a differential equation forms a symmetry group if it leaves the differential equation invariant. Symmetries of differential equations are very important for understanding of their properties. It can be said that the theory of Lie group symmetries of differential equations is general systematic method for finding solutions of differential equations. Despite of this fact, the Lie group theory is relatively unknown in engineering community. The paper is devoted to some important questions concerning this theory and for several equations resulting from the theory of elasticity their Lie group infinitesimal generators are given.
- Źródło:
-
Acta Mechanica et Automatica; 2014, 8, 2; 99-102
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł