. In this paper the partial preliminary group classification of a class of nonlinear wave
equations was carried out via the classification of one-dimensional Lie symmetry extensions …

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 the extended symmetry analysis of a two-dimensional degenerate Burgers
equation. Its complete point-symmetry group is found using the algebraic method, and all its …

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 …

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 revise the symmetry analysis of a modified system of one-dimensional shallow-water
equations (MSWE) recently considered by Raja Sekhar and Sharma [Commun Nonlinear …

We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to
partial differential equations in two independent variables and to ordinary differential …

Applying an original megaideal-based version of the algebraic method, we compute the
point-symmetry pseudogroup of the dispersionless (potential symmetric) Nizhnik equation …