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math.AP2022★ 18 cited
Point and generalized symmetries of the heat equation revisited
Serhii D. Koval, Roman O. Popovych
We derive a nice representation for point symmetry transformations of the (1+1)-dimensional linear heat equation and properly interpret them. This allows us to prove that the pseud…
math.AP2022★ 12 cited
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation
Serhii D. Koval, Alexander Bihlo, Roman O. Popovych
We carry out the extended symmetry analysis of an ultraparabolic Fokker-Planck equation with three independent variables, which is also called the Kolmogorov equation and is single…