63 citations · 70 across the 5 of their papers we have counts for
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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…
On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis
Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Modern weather and climate prediction models are based on a system of nonlinear partial differential equations called the primitive equations. Lie symmetries of the primitive equat…
Complete group classification of a class of nonlinear wave equations
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 3…