Main Topics:
group analysis of linear and nonlinear mathematical models, in particular, gasdynamics equations; group classification of systems of ordinary differential equations, in particular, of second-order equations; group analysis of integro-differential, stochastic, fractional derivative equations, etc; construction of non-point symmetries for inntegro-differential and stochastic differential equations; application of symmetries for construction of solutions to differential equations with fractional derivatives; new methods for construction of exact solutions to differential equations using symmetries; geometric methods in theory of differential equations with applications.
