Browsing by Subject "Diffusion equations"

Now showing items 1-3 of 3

    • Article  

      Conservation laws and hierarchies of potential symmetries for certain diffusion equations 

      Ivanova, Nataliya M.; Popovych, R. O.; Sophocleous, Christodoulos; Vaneeva, Olena O. (2009)
      We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries ...
    • 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  

      On linearizing systems of diffusion equations 

      Sophocleous, Christodoulos; Wiltshire, R. J. (2006)
      We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized. In particular we ...