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.
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     title = {Symmetries of linear and nonlinear partial differential equations},
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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/