Invariant solutions for the modified Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation are
obtained by using classical Lie symmetries. The complete set of local point symmetries is …

. 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 …

Methods for the design of physical parameterization schemes that possess certain
invariance properties are discussed. These methods are based on different techniques of …

Enhancing and essentially generalizing previous results on a class of (1+ 1)-dimensional
nonlinear wave and elliptic equations, we apply several new techniques to classify …

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 …

The complete group classification problem for the class of (1+ 1)-dimensional rth order
general variable-coefficient Burgers–Korteweg–de Vries equations is solved for arbitrary …

The group classification problem for the class of (1+ 1)-dimensional linear rth order evolution
equations is solved for arbitrary values of r> 2. It is shown that a related maximally gauged …

Group classification of classes of mKdV-like equations with time-dependent coefficients is
carried out. The usage of equivalence transformations appears to be a crucial point for the …

We carry out the complete group classification of the class of (1+ 1)-dimensional linear
Schrödinger equations with complex-valued potentials. After introducing the notion of …

The Painlevé analysis is carried out on the physical form of the fourth order Burgers'
equation. Then, nonlocal symmetries of the equation are constructed. Also, linearizations …