Browsing by Subject "Linearising mappings"

Now showing items 1-2 of 2

    • Article  

      Hodograph-type transformations 

      Sophocleous, Christodoulos (2003)
      We consider second-order evolution equations of the form ut = F1(u,ux)uxx+F2(u,ux) and third order of the form ut = F1(u,ux)u xxx+F2(u,ux,uxx). For each of these equations we construct point transformations which relate ...
    • Article  

      Linearisation and potential symmetries of certain systems of diffusion equations 

      Sophocleous, Christodoulos; Wiltshire, R. J. (2006)
      We consider systems of two pure one-dimensional diffusion equations that have considerable interest in Soil Science and Mathematical Biology. We construct non-local symmetries for these systems. These are determined by ...