Principal results

• Development of the new algebraic approach to the problem of group classification of low dimensional PDEs (see the items B-54,57 of the Publication list )
• Complete group classification of one-dimensional heat conductivity equations with a nonlinear source (see the item B-54 of the Publication list )
• Complete group classification of one-dimensional nonlinear Schroedinger equations invariant under one-, two-, three- and four-parameter Lie groups (see the item B-57 of the Publication list )