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19972026
most citedHigher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations

399 citations

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math-ph2024★ 1 cited

Generalized symmetries of remarkable (1+2)-dimensional Fokker-Planck equation

Dmytro R. Popovych, Serhii D. Koval, Roman O. Popovych

Using an original method, we find the algebra of generalized symmetries of a remarkable (1+2)-dimensional ultraparabolic Fokker-Planck equation, which is also called the Kolmogorov…

math-ph2024

Surprising symmetry properties and exact solutions of Kolmogorov backward equations with power diffusivity

Serhii D. Koval, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych

Using the original advanced version of the direct method, we efficiently compute the equivalence groupoids and equivalence groups of two peculiar classes of Kolmogorov backward equ…

math-ph2024★ 5 cited

Extended symmetry analysis of (1+2)-dimensional fine Kolmogorov backward equation

Serhii D. Koval, Roman O. Popovych

Within the class of (1+2)-dimensional ultraparabolic linear equations, we distinguish a fine Kolmogorov backward equation with a quadratic diffusivity. Modulo the point equivalence…