Symmetries of linear and nonlinear partial differential equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 5, pp. 570-574
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Higher symmetries and operator symmetries of linear partial differential equations are considered The higher symmetries form a Lie algebra, and operator ones form an associative algebra. The relationship between these symmetries is established. New symmetries of two-dimensional stationary equations of gas dynamics are found.
Keywords:
higher symmetries, operator symmetries, gas dynamics equations.
@article{JSFU_2024_17_5_a1,
author = {Oleg V. Kaptsov},
title = {Symmetries of linear and nonlinear partial differential equations},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {570--574},
publisher = {mathdoc},
volume = {17},
number = {5},
year = {2024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a1/}
}
TY - JOUR AU - Oleg V. Kaptsov TI - Symmetries of linear and nonlinear partial differential equations JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2024 SP - 570 EP - 574 VL - 17 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a1/ LA - en ID - JSFU_2024_17_5_a1 ER -
Oleg V. Kaptsov. Symmetries of linear and nonlinear partial differential equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 5, pp. 570-574. http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a1/