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 …

We carry out the group classification of the class of two-dimensional shallow water
equations with variable bottom topography using an optimized version of the method of …

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

We carry out extended symmetry analysis of the (1+ 2)-dimensional Boiti–Leon–Pempinelli
system, which corrects, enhances and generalizes many results existing in the literature …

The frameworks of Baikov–Gazizov–Ibragimov (BGI) and Fushchich–Shtelen (FS)
approximate symmetries are used to study symmetry properties of partial differential …

We revisit the entire framework of group classification of differential equations. After
introducing the notion of weakly similar classes of differential equations, we develop the …

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

We revisit the results on admissible transformations between normal linear systems of
second-order ordinary differential equations with an arbitrary number of dependent …

Essentially generalizing Lie's results, we prove that the contact equivalence groupoid of a
class of (1+ 1)-dimensional generalized nonlinear Klein–Gordon equations is the first-order …

A recent Letter by Oberlack et al.[Phys. Rev. Lett. 128, 024502 (2022)] claims to have
derived new symmetry-induced solutions of the non-modelled statistical Navier-Stokes …