- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (2)
- Authors
- Kaptsov, Oleg V.
- Contact information
- Kaptsov, Oleg V.: Institute of Computational Modelling SD RAS Academgorodok, 50/44, Krasnoyarsk, 660036 Russia;
- Keywords
- differential rings; symmetry; partial differential equations
- Abstract
The paper deals with differential rings and partial differential equations with coefficients in some algebra. We introduce symmetries and the conservation laws to the differential ideal of an arbitrary differential ring. We prove that a set of symmetries of an ideal forms a Lie ring and give a precise criterion when a differentiation is a symmetry of an ideal. These concepts are applied to partial differential equations
- Pages
- 185–190
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/110001
Journal of Siberian Federal University. Mathematics & Physics / Symmetries of Differential Ideals and Differential Equations
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