The algebras of the symmetry operators for the Hamilton–Jacobi and Klein–Gordon–Fock
equations are found for a charged test particle, moving in an external electromagnetic field …

The algebras of the integrals of motion of the Hamilton–Jacobi and Klein–Gordon–Fock
equations for a charged test particle moving in an external electromagnetic field in a …

For models of gravitational waves in the Bianchi type IV universe, an exact solution of
geodesic deviation equations is obtained. The spacetime models under consideration refer …

For the gravitational wave model based on the type III Shapovalov wave space-time, test
particle trajectories and the exact solution of geodesic deviation equations for the Bianchi …

Maxwell's vacuum equations are integrated for admissible electromagnetic fields in
homogeneous spaces. Admissible electromagnetic fields are those for which the space …

All electromagnetic potentials and space–time metrics of Stäckel spaces of type (2.0) in
which the Hamilton–Jacobi equation for a charged test particle can be integrated by the …

A complete classification of space-time models is presented, which admit the privileged
coordinate systems, where the Hamilton–Jacobi equation for a test particle is integrated by …

For the Bianchi type VI universe, exact solutions of the equation of geodesic deviation in a
strong primordial gravitational wave in a privileged coordinate system are obtained. The …

All non-equivalent solutions of vacuum Maxwell equations are found for the case when
space-time manifolds admit simply transitive four-parameter groups of motions G 4 (N). The …

Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like
models of space–time with spatial homogeneity symmetry and allowing the integration of the …