Browsing by Author "Kontogiorgis, Stavros"

Now showing items 1-4 of 4

    • Article  

      Enhanced Symmetry Analysis of Two-Dimensional Burgers System 

      Kontogiorgis, Stavros; Popovych, Roman O.; Sophocleous, Christodoulos (2019)
      We carry out enhanced symmetry analysis of a two-dimensional Burgers system. The complete point symmetry group of this system is found using an enhanced version of the algebraic method. Lie reductions of the Burgers system ...
    • Article  

      Group classification of systems of diffusion equations 

      Kontogiorgis, Stavros; Sophocleous, Christodoulos (2017)
      Group classification of a class of systems of diffusion equations is carried out. Arbitrary elements that appear in the system depend on two variables. All forms of the arbitrary elements that provide additional Lie ...
    • Article  

      Lie symmetry analysis of Burgers-type systems 

      Kontogiorgis, Stavros; Sophocleous, Christodoulos (2018)
      Lie group classification for 2 Burgers-type systems is obtained. Systems contain 2 arbitrary elements that depend on the 2 dependent variables. Equivalence transformations for the systems are derived. Examples of nonclassical ...
    • Article  

      On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations 

      Kontogiorgis, Stavros; Sophocleous, Christodoulos (2017)
      For a system of two partial differential equations in two independent variables the Lie point symmetry generator has the form τ(t,x,u,v)∂t+ξ(t,x,u,v)∂x+η(t,x,u,v)∂u+μ(t,x,u,v)∂v. We consider a system of evolution equations ...