• Article  

      Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities 

      Vaneeva, Olena O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, Christodoulos (2007)
      A class of variable coefficient (1 + 1)-dimensional nonlinear reaction-diffusion equations of the general form f (x) ut = (g (x) un ux)x + h (x) um is investigated. Different kinds of equivalence groups are constructed ...
    • Article  

      Group analysis of nonlinear fin equations 

      Vaneeva, Olena O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, Christodoulos (2008)
      Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. These enable us to simplify the classification ...