• Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations 

      Autor: Kuriksha O.; Pošta S.; Vaneeva O.
      (Springer-Verlag, GmbH, 2014)
      We carry out group analysis of a class of generalized fifth-order Korteweg–de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the ...
    • Group classification of variable coefficient generalized Kawahara equations 

      Autor: Kurishka O.; Pošta S.; Vaneeva O.
      (Institute of Physics Publishing, 2014)
      An exhaustive group classification of variable coefficient generalized Kawahara equations is carried out. As a result, we derive new variable coefficient nonlinear models admitting Lie symmetry extensions. All inequivalent ...
    • Realizations of Galilei algebras 

      Autor: Nesterenko M.; Pošta S.; Vaneeva O.
      (Institute of Physics Publishing, 2016)
      All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by Shirokov. The varieties of the deformed Galilei algebras are discussed and ...